Combine different forecasts using complete subset regressions. Apart from the simple averaging, weights based on information criteria (AIC, corrected AIC, Hannan Quinn and BIC).
comb_CSR(x)An object of class foreccomb. Contains training set (actual values + matrix of model forecasts) and optionally a test set.
Returns an object of class foreccomb_res with the following components:
Returns the used forecast combination method.
Returns the individual input models that were used for the forecast combinations.
Returns the combination weights based on the different information criteria.
Returns the fitted values for each information criterion.
Returns range of summary measures of the forecast accuracy for the training set.
Returns forecasts produced by the combination method for the test set. Only returned if input included a forecast matrix for the test set.
Returns range of summary measures of the forecast accuracy for the test set. Only returned if input included a forecast matrix and a vector of actual values for the test set.
Returns the data forwarded to the method.
OLS forecast combination is based on $$ obs_t = const + \sum_{i = 1}^p w_{i} \widehat{obs}_{it} + e_t, $$ where \(obs\) is the observed values and \(\widehat{obs}\) is the forecast, one out of the \(p\) forecasts available.
The function computes the complete subset regressions. So a matrix of forecasts based on all possible subsets of fhat is returned.
Those forecasts can later be cross-sectionally averaged (averaged over rows) to create a single combined forecast using weights which are based on the information criteria of the different individual regression, rather than a simple average.
Additional weight-vectors which are based on different information criteria are also returned. This is in case the user would like to perform the frequensit version of forecast averaging (see references for more details).
Although the function is geared towards forecast averaging, it can be used in any other application as a generic complete subset regression.
Hansen, B. (2008). Least-squares forecast averaging Journal of Econometrics, 146(2), 342--350.
Kapetanios, G., Labhard V., Price, S. (2008). Forecasting Using Bayesian and Information-Theoretic Model Averaging. Journal of Business & Economic Statistics, 26(1).
Koenker R. (2005). Quantile Regression. Cambridge University Press.
Graham, E., Garganob, A., Timmermann, A. (2013). Complete subset regressions. Journal of Econometrics, 177(2), 357--373.
obs <- rnorm(100)
preds <- matrix(rnorm(1000, 1), 100, 10)
train_o<-obs[1:80]
train_p<-preds[1:80,]
test_o<-obs[81:100]
test_p<-preds[81:100,]
data<-foreccomb(train_o, train_p, test_o, test_p)
comb_CSR(data)
#> $Method
#> [1] "Complete Subset Regression"
#>
#> $Models
#> [1] "Series 1" "Series 2" "Series 3" "Series 4" "Series 5" "Series 6"
#> [7] "Series 7" "Series 8" "Series 9" "Series 10"
#>
#> $Fitted
#> Time Series:
#> Start = 1
#> End = 80
#> Frequency = 1
#> aic aicc bic hq
#> 1 0.064803137 0.063004044 0.059925904 0.067383847
#> 2 -0.065622287 -0.064072977 -0.060777543 -0.072080693
#> 3 0.200388095 0.196758653 0.189574696 0.208468254
#> 4 0.131764752 0.131274786 0.130266584 0.132960566
#> 5 0.018462705 0.021006045 0.026123284 0.012630908
#> 6 0.354715326 0.343340323 0.320861626 0.379107855
#> 7 0.022630174 0.026795887 0.034816497 0.013604510
#> 8 0.077065529 0.074842779 0.070883083 0.080801977
#> 9 -0.015035900 -0.011679990 -0.004709304 -0.022452182
#> 10 0.378254217 0.375993674 0.370703366 0.386904051
#> 11 -0.044309136 -0.039863657 -0.030636767 -0.054218078
#> 12 0.387270701 0.381786699 0.370036141 0.400939389
#> 13 -0.005210734 -0.002347346 0.003688677 -0.011845529
#> 14 0.142466806 0.140785189 0.137330469 0.145698223
#> 15 0.177133057 0.176958780 0.176539946 0.178939137
#> 16 0.037940520 0.042144171 0.049987065 0.028393897
#> 17 -0.019324230 -0.016449119 -0.010701261 -0.026948946
#> 18 -0.098016384 -0.090690090 -0.075739698 -0.113868687
#> 19 -0.059099048 -0.055343680 -0.047159424 -0.067495932
#> 20 0.104243967 0.103786650 0.103240936 0.105574116
#> 21 0.007299149 0.009846005 0.015261568 0.001632506
#> 22 0.100468593 0.100294168 0.099957755 0.100438567
#> 23 0.091030209 0.092907618 0.096463384 0.087244122
#> 24 0.157457826 0.156806693 0.155031777 0.158713465
#> 25 -0.104246070 -0.097510829 -0.084043310 -0.120019823
#> 26 0.270191229 0.267300549 0.261093273 0.277787290
#> 27 0.096414079 0.092623380 0.085676106 0.103292918
#> 28 0.407967596 0.403473864 0.393575950 0.420574127
#> 29 0.176336658 0.172886976 0.166145013 0.183784778
#> 30 0.194286361 0.193693675 0.192089115 0.196495191
#> 31 -0.128233571 -0.120308596 -0.104078287 -0.145727705
#> 32 -0.321108348 -0.313999547 -0.298460765 -0.340049174
#> 33 0.136394025 0.133117160 0.127094703 0.143337320
#> 34 -0.012023675 -0.006851286 0.003358934 -0.023207271
#> 35 0.110316417 0.112038684 0.115320594 0.107421567
#> 36 0.152671170 0.151461304 0.148974961 0.155493045
#> 37 0.143641838 0.146846762 0.152585817 0.138221568
#> 38 0.115932187 0.117592523 0.120619256 0.112854059
#> 39 0.152379976 0.150785602 0.147731566 0.156331209
#> 40 0.363703465 0.354470587 0.335805826 0.383799812
#> 41 0.188311539 0.188836432 0.189392122 0.188508222
#> 42 -0.184508596 -0.177707603 -0.163626922 -0.201160413
#> 43 0.126480515 0.133143431 0.145764647 0.115236297
#> 44 0.215327347 0.213162193 0.208396958 0.220349098
#> 45 0.131216149 0.131546253 0.132207960 0.131125790
#> 46 -0.184168767 -0.177223964 -0.162736652 -0.200902822
#> 47 0.080375038 0.075288139 0.066007196 0.089324878
#> 48 0.263996260 0.263526934 0.261962111 0.267377322
#> 49 0.266377621 0.265652696 0.263383881 0.269668594
#> 50 0.074700613 0.073118758 0.070540796 0.077589585
#> 51 0.123075008 0.114433264 0.098034862 0.138796720
#> 52 0.299999204 0.299242468 0.296896151 0.304137652
#> 53 -0.123349506 -0.118433528 -0.108146638 -0.136044408
#> 54 0.191940136 0.189030277 0.182997875 0.198034707
#> 55 0.171456568 0.169224846 0.164884370 0.176800616
#> 56 0.084791101 0.086446811 0.089733521 0.081647766
#> 57 0.148017320 0.144218745 0.136775579 0.155128632
#> 58 0.390907325 0.384365792 0.370732165 0.406857604
#> 59 -0.198856491 -0.193204532 -0.181144273 -0.213843629
#> 60 0.237841674 0.228649723 0.210659503 0.255984193
#> 61 0.106435773 0.104198472 0.099772342 0.110060335
#> 62 0.073657594 0.075787066 0.080201204 0.069724833
#> 63 0.225320220 0.222404466 0.216261845 0.232002831
#> 64 0.223726219 0.218902512 0.209181278 0.233865549
#> 65 0.166843880 0.166246886 0.164795006 0.168768262
#> 66 0.146156866 0.146744711 0.147535481 0.145187734
#> 67 0.271148944 0.266279753 0.256302584 0.282260177
#> 68 -0.016212667 -0.014598829 -0.010950414 -0.020949517
#> 69 0.093152702 0.094080186 0.096064166 0.091559730
#> 70 0.052271878 0.049388462 0.044066697 0.056330888
#> 71 0.002626962 0.002527723 0.002912883 0.001502936
#> 72 0.442886520 0.436663267 0.423083288 0.458474048
#> 73 0.128820398 0.126593201 0.122259945 0.132878925
#> 74 -0.224069346 -0.218627233 -0.206833820 -0.238738807
#> 75 -0.093664351 -0.088976502 -0.079032513 -0.104649967
#> 76 0.119465667 0.127332640 0.142251991 0.106035189
#> 77 0.330515930 0.326299879 0.317136206 0.340997941
#> 78 -0.176248963 -0.164529209 -0.140965457 -0.201106817
#> 79 0.399827015 0.394075708 0.381822223 0.414305081
#> 80 0.184871632 0.183246908 0.179825652 0.188823306
#>
#> $Accuracy_Train
#> aic aicc bic hq
#> ME 3.693064e-18 2.378469e-18 -6.071532e-18 -5.767956e-18
#> RMSE 9.480315e-01 9.485432e-01 9.496723e-01 9.468307e-01
#> MAE 7.140187e-01 7.142322e-01 7.149584e-01 7.137232e-01
#> MPE 7.020804e+01 7.094422e+01 7.244325e+01 6.844058e+01
#> MAPE 1.017949e+02 1.010756e+02 9.973313e+01 1.035775e+02
#>
#> $Input_Data
#> $Input_Data$Actual_Train
#> Time Series:
#> Start = 1
#> End = 80
#> Frequency = 1
#> [1] 0.04909540 -0.03280005 -0.51092478 0.35643054 0.41794614 0.57920526
#> [7] -1.47515865 1.32380523 1.03062147 0.31737389 -1.11190379 0.62121117
#> [13] 1.80910855 1.11398601 0.46535053 -1.06862973 0.25594028 -0.77721893
#> [19] -0.95031824 1.23051633 -0.29032133 -1.24524959 -0.92511062 -0.35175827
#> [25] -0.04163083 0.72929742 0.29340303 3.58694548 0.75574301 0.40012730
#> [31] 0.82934571 -0.30513624 0.71010332 0.43861382 0.35822370 -0.12423765
#> [37] -0.69321609 0.57434653 -0.21715952 3.03758116 -1.59166713 -0.67368924
#> [43] 0.72857280 -1.15156224 -1.15077521 -0.13207528 -0.58104636 1.66135003
#> [49] 1.16794898 0.76988546 -0.16311581 1.27526535 0.18088798 1.47436052
#> [55] -1.51743472 0.30440036 0.10746739 -1.22479257 0.44851998 0.50807095
#> [61] 0.35021264 0.75821367 0.29092872 0.02285959 -0.20814311 -0.26361162
#> [67] -1.98413580 -0.35762022 -0.45429735 0.28615770 -0.28917939 0.51190457
#> [73] -1.10433455 -0.22247479 -1.45215149 0.39929877 1.42857119 -0.48214099
#> [79] 0.99238818 -1.16370065
#>
#> $Input_Data$Forecasts_Train
#> Time Series:
#> Start = 1
#> End = 80
#> Frequency = 1
#> Series 1 Series 2 Series 3 Series 4 Series 5 Series 6
#> 1 1.851309252 -1.90422064 0.269491973 0.83983864 1.27992128 -0.256874000
#> 2 1.429908280 1.33701264 0.604158754 0.96431453 1.77740777 2.184396869
#> 3 -0.055277738 1.76451066 -0.415808515 0.42531518 0.77891028 2.008572464
#> 4 0.954119029 0.33062181 0.891061082 1.84535002 0.86232316 -0.066152116
#> 5 0.868118616 0.83903113 1.074299910 0.41823388 1.11523004 -0.080213998
#> 6 0.680536442 2.50726103 1.450190145 0.49764289 2.53326957 -0.526590371
#> 7 1.473606163 0.87830616 1.387345818 2.08807626 0.34422554 -0.370400426
#> 8 1.812516099 0.75658522 0.741704986 0.60704698 1.85837870 -0.293569433
#> 9 1.256612328 1.70815719 2.523490603 0.33953888 -0.18767055 -1.961029713
#> 10 -1.148765835 0.51996033 1.551343438 0.85097487 1.53954038 2.125595683
#> 11 1.690108551 0.68344873 1.329901773 0.12451470 0.73363784 1.004027538
#> 12 -0.772443831 1.51047124 1.172922695 2.69900157 1.75817223 1.162671154
#> 13 1.546294039 0.73373565 1.426641536 1.06819026 -0.03140203 -0.483922370
#> 14 1.018945820 1.63643210 0.186300415 1.53318758 2.02493151 2.164860318
#> 15 0.251297785 -0.01395559 1.651355094 0.91905101 0.85473841 -0.272419300
#> 16 0.205678965 1.93223075 1.919981796 3.44678143 1.10922383 -0.113778666
#> 17 1.300784394 0.34921167 1.390101788 1.38389903 -0.47859879 -0.306937045
#> 18 1.054665853 1.43617818 1.956724098 -0.05217158 -1.27919122 0.825791770
#> 19 1.364229108 0.83591060 0.830026437 -0.72223383 1.60007689 0.316748477
#> 20 -0.165186698 2.26865639 0.620022084 0.36918075 0.65342180 0.378431714
#> 21 1.260555826 1.41543250 1.144207957 0.04640402 0.71484633 0.844836768
#> 22 -1.417116277 0.95189572 0.281715911 0.92001753 0.35234784 -0.086493583
#> 23 2.149085017 1.19829295 1.206108648 2.06269590 -0.27221470 1.550222007
#> 24 2.206579247 0.61131269 0.632665639 2.35105684 0.82482682 2.394780678
#> 25 0.568017866 0.54776771 1.788442877 1.23329022 -1.20131958 -0.588319258
#> 26 1.106856739 0.86057857 0.689047205 1.33389879 1.57987598 3.067583529
#> 27 1.486195719 -0.32519766 0.140859901 0.23522974 1.06279647 -0.697113047
#> 28 -0.553458324 1.75406952 2.085279663 1.76938446 2.77512452 1.860507631
#> 29 -0.083142387 2.35785283 0.215220676 0.78498704 2.38369470 0.620356511
#> 30 0.483987972 -0.22078486 -0.220960234 1.38338059 2.63096029 2.847630107
#> 31 0.792229020 0.43208134 -0.056691432 0.45750464 0.19160870 2.037656179
#> 32 1.907281411 -0.18884957 0.003109446 -1.09457822 1.09556545 -0.469574768
#> 33 1.811425127 -0.01227589 0.327394915 1.37805006 1.91680819 -1.776948210
#> 34 0.008806746 0.56746851 1.665268367 0.29406577 1.47384354 0.923020212
#> 35 0.545693042 1.34570639 3.236077683 0.41289547 0.60475428 0.045507928
#> 36 0.684271462 1.19092760 0.398201831 1.10008636 1.42939854 1.708679420
#> 37 -0.006333083 2.28748858 0.708382258 2.20206636 1.85093079 2.777086808
#> 38 -0.016594660 0.78649574 0.159025138 1.65984400 0.82960538 1.866314308
#> 39 3.029964782 1.59356130 3.031699515 0.37325464 0.99920860 1.153005817
#> 40 0.312361566 -0.81579987 1.429372125 0.47022389 1.86064150 0.953610921
#> 41 -0.587906854 0.53947543 1.811017521 1.87650319 1.64034238 -0.672847415
#> 42 2.016938102 1.74633798 0.825700051 0.94986179 1.10687629 -0.089890612
#> 43 0.276897814 1.89899588 0.683628517 3.28039035 -0.46047776 0.923824295
#> 44 -0.453485040 -0.15546216 0.506998105 2.37981056 1.45517138 -0.305831716
#> 45 -1.140815482 0.71757618 1.190778474 0.42636397 2.27208468 0.937615437
#> 46 1.134854427 0.99674313 -0.103744984 -0.41683743 -0.91518758 1.342371568
#> 47 1.661997776 2.51502828 0.893586686 -0.24490746 1.23558909 0.451069385
#> 48 1.494613170 1.30938027 2.458992713 1.90008248 2.05591431 1.915061327
#> 49 -0.526643655 0.53904118 0.692525702 2.98943026 1.43167724 0.912396096
#> 50 0.889783995 1.29344757 1.757181411 -1.78697529 -0.74594321 0.974420529
#> 51 3.468741282 1.07097201 -0.710825390 0.97686470 3.63457548 -0.254357406
#> 52 0.436456566 -1.31375937 1.595309608 1.20416084 0.96919643 2.880124823
#> 53 -0.445853422 1.19270603 -1.067966650 1.04422852 -1.25618876 0.859050631
#> 54 0.523444224 0.64755855 0.914260244 1.62709749 2.83682254 0.893308863
#> 55 2.014600468 -0.53329279 1.032286550 0.05275045 1.49853557 1.724555090
#> 56 0.881979966 -0.73406921 1.289686397 -0.12282694 1.15624685 1.428818083
#> 57 0.645678156 1.14189273 1.808938069 0.97967635 1.55650169 -0.580215751
#> 58 1.287255843 0.78040040 1.326262471 2.22502554 1.68710698 1.774755814
#> 59 1.018012616 1.59156449 -0.703857479 1.08305898 -2.30418223 -0.164292124
#> 60 0.101576024 1.24024791 1.525504589 -0.88591517 1.87832996 1.008854303
#> 61 2.444736492 0.62743584 0.196966150 2.05692713 2.46117569 0.544921998
#> 62 0.462200854 1.26454587 0.762344279 1.61291219 0.89059332 -0.002690048
#> 63 0.517640002 1.65154449 1.855349059 1.58965009 2.32560638 1.428069572
#> 64 0.264380387 0.58168023 0.530512955 0.93354866 2.14068057 1.202562302
#> 65 0.984764744 -1.07876063 1.118012784 0.39189212 0.06963579 1.181583275
#> 66 0.714939162 1.59095504 2.247441555 1.94730457 0.80537666 1.565693868
#> 67 0.229104006 0.29435926 0.311602701 1.39316996 1.92400727 0.722343020
#> 68 -0.911522944 1.98668840 -0.383569575 0.61479407 0.71622864 -0.364248481
#> 69 1.177899655 1.03235905 0.957067585 0.39073688 1.64381884 2.299207250
#> 70 1.196320685 0.50395643 0.790765770 0.61561485 2.20492998 -0.992846557
#> 71 1.050044155 2.67324906 -0.466993454 0.09857633 0.01356652 0.896283913
#> 72 -0.045274438 -0.05126661 3.235778380 1.87294589 2.36299940 1.299766257
#> 73 0.863317614 1.02801582 0.374855037 1.56182126 0.36286336 0.596999591
#> 74 2.227500609 1.52689009 -0.167913785 -0.75727852 -0.25270514 1.338490957
#> 75 0.806134807 2.27078692 1.149528831 0.18788390 0.42486227 -0.478427039
#> 76 -0.993071105 0.41240755 1.861319900 1.23869059 -0.67630082 0.953485074
#> 77 0.570094330 0.56952856 -0.046203407 3.50600172 1.26281202 1.031688186
#> 78 0.348083675 0.97703374 1.172260011 0.01941284 -0.42088329 1.281532607
#> 79 -0.322755316 1.07487392 0.692979249 2.56612506 1.77384672 1.803195254
#> 80 0.388997644 -1.08999562 1.903345610 0.24113256 0.36980860 0.791141651
#> Series 7 Series 8 Series 9 Series 10
#> 1 0.22668653 1.4620031 -1.0168056 1.52414852
#> 2 4.48053975 0.2657918 -0.5964884 0.40829947
#> 3 0.38257803 2.3233606 1.7905133 -0.18391199
#> 4 1.52078244 1.4572948 0.9440462 2.20035313
#> 5 1.59254025 0.2635192 3.7846565 0.09192867
#> 6 0.09965315 3.1436128 1.3954117 -0.54881769
#> 7 2.47428132 0.6618406 3.6979624 1.40804495
#> 8 2.08513260 0.9290296 2.0566101 1.87234282
#> 9 -0.70668744 0.9117900 2.7818693 -0.86047769
#> 10 -0.16869630 1.3550907 2.3186880 1.20611760
#> 11 -0.41945333 -0.2048085 0.2759168 -0.06552600
#> 12 1.64597095 2.4560005 0.7367088 1.44427911
#> 13 0.57286721 0.9995344 0.6514092 1.39006374
#> 14 2.18982815 0.8823763 0.7867481 0.88059549
#> 15 0.86014086 1.1841482 1.7486665 2.47496265
#> 16 1.18939598 0.1387993 -2.0045498 -0.29465826
#> 17 1.05758441 1.7793108 0.7942898 -0.46761268
#> 18 0.41275387 0.5459358 0.8564833 0.78869927
#> 19 0.75858542 -1.0286072 2.3109572 1.41961873
#> 20 1.76380039 1.1374981 1.7645733 2.43334036
#> 21 0.32190327 0.3468348 1.5644686 0.26253189
#> 22 1.83699414 1.7200351 0.8246786 0.87498466
#> 23 1.04193947 1.8084364 0.9974253 1.27982415
#> 24 1.97930960 1.9624521 1.5887499 0.55262797
#> 25 2.49609565 1.1031381 1.1753172 1.04795768
#> 26 2.38116716 1.6863602 2.3969230 2.09285254
#> 27 1.17718685 2.0951989 1.8254166 1.50800968
#> 28 0.39544111 1.1818922 1.5547305 0.13008920
#> 29 0.99358745 0.8031246 1.5453780 0.29732352
#> 30 -0.03091760 0.1519386 0.4636155 -0.35940727
#> 31 0.40338070 -0.8774431 -0.8392675 1.34564699
#> 32 2.23000533 -1.5861413 0.2876578 1.42180548
#> 33 -1.12526394 1.1080672 0.9054335 1.32671167
#> 34 1.54654128 -0.8383419 1.2430160 0.03642489
#> 35 2.01145534 0.8769147 2.0204461 1.47865798
#> 36 2.36717460 1.1474879 1.9232620 1.78056492
#> 37 1.70783797 -0.4306464 1.2631799 0.81457450
#> 38 0.87748415 0.8940119 0.3124138 0.62858424
#> 39 0.20059087 1.5031819 1.2208612 0.62409358
#> 40 0.82064000 3.5126804 0.4458962 -0.04977309
#> 41 1.10945286 0.5586187 1.5518464 1.13550989
#> 42 1.23092655 -1.1789991 0.8381670 -0.04193425
#> 43 -0.26966316 0.3218510 2.3514035 2.37154346
#> 44 1.62052581 1.7288473 0.9946669 1.21172302
#> 45 0.35765148 -0.2434327 -1.4051334 0.58000971
#> 46 1.66235781 0.4117280 1.9898094 0.48541826
#> 47 1.24588428 2.1085391 -0.2330317 0.51881086
#> 48 0.15210631 0.4976200 1.0274106 0.97710388
#> 49 0.56523259 1.3472987 0.6089948 0.76418262
#> 50 1.88317595 2.7481468 3.4018102 0.95708411
#> 51 1.58631868 1.4628553 1.5541960 0.46652781
#> 52 0.74330796 1.7678697 1.5607759 1.24092366
#> 53 2.22013570 1.4510162 -0.4307888 1.27578800
#> 54 3.32588797 0.6474228 1.2565309 1.98733788
#> 55 -0.30704234 1.3664545 1.4475130 0.39282498
#> 56 1.00027147 0.5118751 1.9091546 0.75684477
#> 57 2.14251157 1.8733900 0.3423882 0.81628110
#> 58 0.77805986 2.7987806 1.2547813 1.56454911
#> 59 0.79168541 2.0507952 -0.3629594 0.35433669
#> 60 1.74992271 3.1752306 -0.1516580 -0.98419752
#> 61 1.11760562 0.8164371 1.0923562 0.06718921
#> 62 1.09902120 0.3132070 0.4738910 2.86455975
#> 63 2.36168847 1.0252922 0.0587175 1.30766833
#> 64 0.16101176 1.7770312 -0.1603851 -0.87347681
#> 65 -0.06493722 2.3580461 2.4632168 -0.38158637
#> 66 3.11316802 1.3119454 -0.2270357 2.21428100
#> 67 1.51066719 1.9911977 2.2891223 1.14148190
#> 68 2.20026303 0.6181014 1.5219834 1.06310385
#> 69 2.04546006 0.1197385 1.0386469 2.23546127
#> 70 1.72044361 1.0230683 1.0054809 -0.09654621
#> 71 1.50296841 1.7083968 3.0509627 0.32121629
#> 72 1.95584121 2.4710712 1.5840035 0.44013276
#> 73 1.49212806 2.4231851 0.2803596 1.21547636
#> 74 0.84405053 0.2682427 1.3172920 -1.05543520
#> 75 0.56693782 -0.2278623 1.1667157 0.47959137
#> 76 -0.22342035 0.1534428 3.5026785 1.25226391
#> 77 0.70965663 2.6414782 1.4004087 1.15315642
#> 78 1.34023199 -1.5369827 2.0721120 1.49212442
#> 79 1.23455206 2.5149668 1.0550010 1.53382238
#> 80 1.01182394 2.3444653 0.9386361 0.79286764
#>
#> $Input_Data$Actual_Test
#> [1] 1.6207891 -0.1074482 -0.7732068 -0.7362788 0.8157067 2.2030364
#> [7] -0.6710466 -0.4215896 -0.7777491 0.5615424 -2.2225071 -0.6954137
#> [13] -0.3835500 2.0585670 -1.1079883 -0.9559388 -0.6357684 0.7667575
#> [19] 0.6869581 1.7214267
#>
#> $Input_Data$Forecasts_Test
#> Series 1 Series 2 Series 3 Series 4 Series 5 Series 6
#> [1,] 0.56651523 2.02389717 1.98524869 1.49384510 -1.52322297 0.66327182
#> [2,] 1.22113162 1.62324013 2.64382848 0.67284955 2.04567612 0.54369025
#> [3,] 1.41463530 -0.36733001 1.81455972 0.56512096 1.75134023 2.02426031
#> [4,] 2.00351963 1.04458952 1.82511316 2.51972311 1.79816085 2.45739515
#> [5,] -1.62604224 1.36627380 0.65422608 1.00367780 -0.56764183 0.77506941
#> [6,] 0.12646507 0.82153030 1.41114733 0.59766005 -0.14747686 1.29006851
#> [7,] 0.22628917 3.10167759 0.35678562 -0.49546643 1.43558672 1.25927654
#> [8,] 1.59305855 0.75759034 1.94205948 0.05401449 2.05320042 1.00989230
#> [9,] 1.45356334 1.01171722 1.46959178 1.90642951 1.96350660 0.81532607
#> [10,] 0.51037329 -1.77843369 0.33788776 -0.81386762 1.69393094 2.65424658
#> [11,] 0.33391450 1.27449139 0.69052890 0.04822457 0.76992905 1.43685436
#> [12,] -0.08965423 0.37726807 1.79457426 2.12685210 0.06444139 1.84731611
#> [13,] -0.04090695 -0.02783172 0.08514904 1.13988906 0.09737962 1.99628230
#> [14,] 1.50160668 1.72899011 0.53447969 1.10033998 0.96913991 2.06745244
#> [15,] 1.04135376 0.60753856 1.81966936 -0.20452863 0.13132178 0.94665742
#> [16,] 0.94691832 1.35784558 2.52103574 0.91654170 3.18778750 1.99292623
#> [17,] -0.52739908 0.24481014 1.26535479 0.20291775 2.53853015 0.50064732
#> [18,] 0.83643148 1.06668971 1.61906694 2.10152458 -0.88207267 -0.11639333
#> [19,] -1.13509492 1.25735565 1.47108084 1.10841041 1.91587500 0.02548324
#> [20,] 0.86316641 0.90903694 1.46314421 -0.19050680 0.59825999 3.78740354
#> Series 7 Series 8 Series 9 Series 10
#> [1,] 1.6047330 1.34221800 -0.07644359 1.0351199
#> [2,] 1.7375098 0.67532952 1.50430429 -0.1209760
#> [3,] 0.1018965 0.04907874 1.53622455 0.6680341
#> [4,] 1.1718214 1.12259632 -0.35497729 -0.2772551
#> [5,] 1.9132348 3.20959755 1.22750631 1.5386513
#> [6,] -0.1051535 2.30492804 -1.52941871 2.3488413
#> [7,] 1.3934501 0.47448593 0.18146886 1.6011115
#> [8,] -0.3698427 2.15163592 -0.58952999 0.9872804
#> [9,] 1.7394716 1.82616690 -0.08249332 1.7161390
#> [10,] 1.6383709 2.15624483 1.20580436 1.4056344
#> [11,] -1.2803539 1.41097269 -0.08118232 0.6451477
#> [12,] -1.0112247 0.94395136 0.81120745 0.1687439
#> [13,] 3.0687406 1.78017713 1.31275645 1.2250229
#> [14,] -0.3150526 -0.92317778 1.07471700 0.3115881
#> [15,] -0.1097504 0.72635051 0.39565515 0.3512124
#> [16,] 1.0548967 1.60371773 1.04524665 1.4717313
#> [17,] 0.1374126 -0.31734831 2.64853964 1.1746062
#> [18,] 1.9307755 1.95558863 0.24431702 0.6067251
#> [19,] 1.5711704 1.01285354 0.71182065 1.1232406
#> [20,] 2.2348319 1.29143609 0.26984949 -1.0066676
#>
#>
#> $Predict
#> function (object, newpreds)
#> {
#> fobj <- foreccomb(object$Input_Data$Actual_Train, object$Input_Data$Forecasts_Train,
#> newobs = NULL, newpreds = newpreds)
#> result <- comb_CSR(fobj)
#> return(result$Forecasts_Test)
#> }
#> <bytecode: 0x560494a000f0>
#> <environment: namespace:ForecastComb>
#>
#> $Weights
#> aic aicc bic hq
#> [1,] 227.5154 227.8271 232.2795 226.4704
#> [2,] 228.3161 228.6277 233.0801 227.2711
#> [3,] 227.6915 228.0032 232.4556 226.6466
#> [4,] 227.3266 227.6383 232.0907 226.2817
#> [5,] 225.9454 226.2571 230.7095 224.9005
#> [6,] 227.6021 227.9138 232.3661 226.5571
#> [7,] 228.0252 228.3369 232.7893 226.9802
#> [8,] 225.6868 225.9985 230.4508 224.6418
#> [9,] 228.1996 228.5113 232.9636 227.1546
#> [10,] 228.2080 228.5197 232.9721 227.1630
#> [11,] 229.4321 229.9584 236.5782 227.8647
#> [12,] 228.9276 229.4539 236.0737 227.3602
#> [13,] 228.8086 229.3349 235.9547 227.2412
#> [14,] 227.0646 227.5910 234.2107 225.4972
#> [15,] 228.9120 229.4383 236.0581 227.3445
#> [16,] 229.1353 229.6617 236.2814 227.5679
#> [17,] 227.0302 227.5565 234.1762 225.4627
#> [18,] 229.3178 229.8441 236.4638 227.7503
#> [19,] 229.4244 229.9508 236.5705 227.8570
#> [20,] 229.6512 230.1775 236.7973 228.0837
#> [21,] 229.2576 229.7840 236.4037 227.6902
#> [22,] 227.9306 228.4569 235.0767 226.3632
#> [23,] 229.5543 230.0806 236.7004 227.9869
#> [24,] 230.0078 230.5341 237.1538 228.4403
#> [25,] 227.6857 228.2120 234.8317 226.1182
#> [26,] 230.1401 230.6664 237.2862 228.5727
#> [27,] 230.1676 230.6939 237.3137 228.6001
#> [28,] 228.6652 229.1915 235.8113 227.0977
#> [29,] 227.3564 227.8828 234.5025 225.7890
#> [30,] 228.8498 229.3761 235.9959 227.2824
#> [31,] 229.4145 229.9408 236.5606 227.8470
#> [32,] 227.1178 227.6442 234.2639 225.5504
#> [33,] 229.5922 230.1185 236.7383 228.0247
#> [34,] 229.5265 230.0528 236.6726 227.9590
#> [35,] 227.4169 227.9432 234.5630 225.8494
#> [36,] 228.7443 229.2706 235.8904 227.1768
#> [37,] 228.9228 229.4492 236.0689 227.3554
#> [38,] 227.0948 227.6211 234.2408 225.5273
#> [39,] 228.9795 229.5058 236.1256 227.4120
#> [40,] 229.3055 229.8318 236.4515 227.7380
#> [41,] 227.5062 228.0326 234.6523 225.9388
#> [42,] 227.4153 227.9416 234.5614 225.8479
#> [43,] 225.4980 226.0243 232.6441 223.9305
#> [44,] 227.5555 228.0818 234.7015 225.9880
#> [45,] 227.6849 228.2112 234.8310 226.1174
#> [46,] 229.1509 229.6772 236.2970 227.5834
#> [47,] 226.9674 227.4937 234.1134 225.3999
#> [48,] 229.4067 229.9330 236.5527 227.8392
#> [49,] 229.4611 229.9874 236.6071 227.8936
#> [50,] 227.3441 227.8704 234.4901 225.7766
#> [51,] 229.8783 230.4047 237.0244 228.3109
#> [52,] 229.6649 230.1912 236.8110 228.0974
#> [53,] 227.5504 228.0767 234.6965 225.9829
#> [54,] 227.3525 227.8788 234.4985 225.7850
#> [55,] 230.0698 230.5961 237.2159 228.5023
#> [56,] 230.8620 231.6620 240.3901 228.7721
#> [57,] 230.7170 231.5170 240.2451 228.6270
#> [58,] 229.0330 229.8330 238.5611 226.9430
#> [59,] 230.8387 231.6387 240.3668 228.7487
#> [60,] 231.1012 231.9012 240.6293 229.0112
#> [61,] 229.0221 229.8221 238.5502 226.9321
#> [62,] 231.2267 232.0267 240.7548 229.1368
#> [63,] 231.3551 232.1551 240.8832 229.2651
#> [64,] 230.2162 231.0162 239.7443 228.1262
#> [65,] 228.5619 229.3619 238.0900 226.4719
#> [66,] 230.2533 231.0533 239.7814 228.1634
#> [67,] 230.6158 231.4158 240.1439 228.5259
#> [68,] 228.5310 229.3310 238.0591 226.4410
#> [69,] 230.8035 231.6035 240.3317 228.7136
#> [70,] 230.8312 231.6312 240.3593 228.7413
#> [71,] 228.7830 229.5830 238.3111 226.6931
#> [72,] 230.3176 231.1176 239.8457 228.2276
#> [73,] 230.3845 231.1845 239.9126 228.2945
#> [74,] 228.6537 229.4537 238.1818 226.5638
#> [75,] 230.4631 231.2631 239.9912 228.3732
#> [76,] 230.7980 231.5980 240.3261 228.7080
#> [77,] 228.7532 229.5532 238.2813 226.6633
#> [78,] 228.4889 229.2889 238.0171 226.3990
#> [79,] 226.8108 227.6108 236.3389 224.7208
#> [80,] 228.6315 229.4315 238.1596 226.5415
#> [81,] 228.8975 229.6975 238.4256 226.8075
#> [82,] 230.4369 231.2369 239.9650 228.3469
#> [83,] 228.4493 229.2493 237.9774 226.3593
#> [84,] 230.6934 231.4934 240.2215 228.6035
#> [85,] 230.8296 231.6296 240.3577 228.7397
#> [86,] 228.6565 229.4565 238.1847 226.5666
#> [87,] 230.9640 231.7640 240.4921 228.8740
#> [88,] 230.8830 231.6830 240.4111 228.7930
#> [89,] 228.8712 229.6712 238.3993 226.7813
#> [90,] 228.7952 229.5952 238.3233 226.7053
#> [91,] 231.2536 232.0536 240.7817 229.1636
#> [92,] 230.6118 231.4118 240.1399 228.5218
#> [93,] 229.3476 230.1476 238.8757 227.2577
#> [94,] 230.8159 231.6159 240.3440 228.7259
#> [95,] 231.4020 232.2020 240.9301 229.3120
#> [96,] 229.1178 229.9178 238.6459 227.0278
#> [97,] 231.5477 232.3477 241.0758 229.4577
#> [98,] 231.4980 232.2980 241.0261 229.4081
#> [99,] 229.3931 230.1931 238.9212 227.3031
#> [100,] 230.6829 231.4829 240.2110 228.5929
#> [101,] 230.8989 231.6989 240.4270 228.8089
#> [102,] 229.0896 229.8896 238.6177 226.9997
#> [103,] 230.9000 231.7000 240.4281 228.8101
#> [104,] 231.2427 232.0427 240.7708 229.1527
#> [105,] 229.4924 230.2924 239.0205 227.4024
#> [106,] 229.4152 230.2152 238.9433 227.3253
#> [107,] 227.4939 228.2939 237.0220 225.4039
#> [108,] 229.5378 230.3378 239.0659 227.4479
#> [109,] 229.6787 230.4787 239.2068 227.5888
#> [110,] 231.1406 231.9406 240.6687 229.0506
#> [111,] 228.9669 229.7669 238.4950 226.8769
#> [112,] 231.3536 232.1536 240.8817 229.2637
#> [113,] 231.4252 232.2252 240.9533 229.3353
#> [114,] 229.3391 230.1391 238.8672 227.2491
#> [115,] 231.8570 232.6570 241.3851 229.7670
#> [116,] 231.6624 232.4624 241.1906 229.5725
#> [117,] 229.5484 230.3484 239.0765 227.4585
#> [118,] 229.3520 230.1520 238.8801 227.2621
#> [119,] 232.0237 232.8237 241.5519 229.9338
#> [120,] 228.8313 229.6313 238.3594 226.7414
#> [121,] 230.0174 230.8174 239.5455 227.9274
#> [122,] 230.3346 231.1346 239.8627 228.2446
#> [123,] 228.5298 229.3298 238.0579 226.4398
#> [124,] 230.4237 231.2237 239.9518 228.3337
#> [125,] 230.6423 231.4423 240.1704 228.5523
#> [126,] 228.8588 229.6588 238.3869 226.7688
#> [127,] 228.9086 229.7086 238.4367 226.8186
#> [128,] 227.0026 227.8026 236.5307 224.9127
#> [129,] 229.0745 229.8745 238.6027 226.9846
#> [130,] 229.0944 229.8944 238.6225 227.0045
#> [131,] 230.4764 231.2764 240.0045 228.3865
#> [132,] 228.3319 229.1319 237.8600 226.2420
#> [133,] 230.7340 231.5340 240.2621 228.6441
#> [134,] 230.7070 231.5070 240.2351 228.6170
#> [135,] 228.8372 229.6372 238.3653 226.7473
#> [136,] 231.3287 232.1287 240.8568 229.2387
#> [137,] 231.0714 231.8714 240.5995 228.9814
#> [138,] 229.0392 229.8392 238.5673 226.9492
#> [139,] 228.7836 229.5836 238.3117 226.6937
#> [140,] 231.4522 232.2522 240.9803 229.3623
#> [141,] 229.0576 229.8576 238.5858 226.9677
#> [142,] 228.8545 229.6545 238.3826 226.7645
#> [143,] 227.2552 228.0552 236.7833 225.1652
#> [144,] 228.8759 229.6759 238.4040 226.7859
#> [145,] 229.3131 230.1131 238.8412 227.2231
#> [146,] 230.2464 231.0464 239.7745 228.1565
#> [147,] 228.5094 229.3094 238.0376 226.4195
#> [148,] 230.3843 231.1843 239.9124 228.2943
#> [149,] 230.7234 231.5234 240.2516 228.6335
#> [150,] 228.7072 229.5072 238.2353 226.6173
#> [151,] 230.6076 231.4076 240.1357 228.5177
#> [152,] 230.8040 231.6040 240.3322 228.7141
#> [153,] 228.8362 229.6362 238.3643 226.7462
#> [154,] 228.9511 229.7511 238.4792 226.8612
#> [155,] 230.9766 231.7766 240.5047 228.8867
#> [156,] 228.8903 229.6903 238.4184 226.8004
#> [157,] 227.0802 227.8802 236.6083 224.9902
#> [158,] 229.1041 229.9041 238.6322 227.0142
#> [159,] 229.2725 230.0725 238.8007 227.1826
#> [160,] 226.9801 227.7801 236.5082 224.8901
#> [161,] 229.0606 229.8606 238.5887 226.9706
#> [162,] 228.8316 229.6316 238.3598 226.7417
#> [163,] 227.1703 227.9703 236.6984 225.0803
#> [164,] 227.0436 227.8436 236.5718 224.9537
#> [165,] 229.3526 230.1526 238.8807 227.2627
#> [166,] 228.5221 229.3221 238.0502 226.4322
#> [167,] 230.9829 231.7829 240.5110 228.8930
#> [168,] 230.7953 231.5953 240.3234 228.7053
#> [169,] 228.8091 229.6091 238.3372 226.7191
#> [170,] 228.6644 229.4644 238.1925 226.5745
#> [171,] 231.2982 232.0982 240.8263 229.2082
#> [172,] 229.2287 230.0287 238.7569 227.1388
#> [173,] 228.7285 229.5285 238.2566 226.6385
#> [174,] 231.5696 232.3696 241.0977 229.4797
#> [175,] 229.2583 230.0583 238.7864 227.1683
#> [176,] 232.1432 233.2783 244.0533 229.5307
#> [177,] 230.5395 231.6746 242.4496 227.9270
#> [178,] 232.1980 233.3331 244.1081 229.5855
#> [179,] 232.5891 233.7243 244.4993 229.9767
#> [180,] 230.5270 231.6621 242.4371 227.9146
#> [181,] 232.7314 233.8666 244.6416 230.1190
#> [182,] 232.7785 233.9136 244.6886 230.1660
#> [183,] 230.7449 231.8801 242.6551 228.1325
#> [184,] 232.2361 233.3712 244.1462 229.6236
#> [185,] 232.3471 233.4823 244.2573 229.7347
#> [186,] 230.6411 231.7763 242.5513 228.0287
#> [187,] 232.3595 233.4946 244.2696 229.7470
#> [188,] 232.7113 233.8464 244.6214 230.0989
#> [189,] 230.7241 231.8592 242.6342 228.1116
#> [190,] 230.4872 231.6223 242.3973 227.8748
#> [191,] 228.8107 229.9459 240.7208 226.1983
#> [192,] 230.5949 231.7300 242.5050 227.9825
#> [193,] 230.8777 232.0128 242.7878 228.2652
#> [194,] 232.4138 233.5489 244.3239 229.8013
#> [195,] 230.4440 231.5791 242.3541 227.8315
#> [196,] 232.6126 233.7478 244.5228 230.0002
#> [197,] 232.7687 233.9038 244.6788 230.1562
#> [198,] 230.6563 231.7914 242.5664 228.0438
#> [199,] 232.9236 234.0587 244.8337 230.3112
#> [200,] 232.8703 234.0054 244.7804 230.2578
#> [201,] 230.8606 231.9957 242.7707 228.2481
#> [202,] 230.7936 231.9287 242.7037 228.1812
#> [203,] 233.1753 234.3104 245.0854 230.5629
#> [204,] 230.2715 231.4066 242.1816 227.6590
#> [205,] 231.6610 232.7961 243.5711 229.0486
#> [206,] 231.8645 232.9996 243.7746 229.2520
#> [207,] 230.1463 231.2814 242.0564 227.5338
#> [208,] 231.9707 233.1058 243.8808 229.3583
#> [209,] 232.2037 233.3388 244.1138 229.5913
#> [210,] 230.1978 231.3330 242.1080 227.5854
#> [211,] 230.0674 231.2025 241.9775 227.4549
#> [212,] 228.3824 229.5175 240.2925 225.7699
#> [213,] 230.2361 231.3712 242.1462 227.6236
#> [214,] 230.3894 231.5245 242.2995 227.7770
#> [215,] 231.8546 232.9897 243.7647 229.2421
#> [216,] 229.8855 231.0206 241.7956 227.2730
#> [217,] 232.1158 233.2509 244.0259 229.5033
#> [218,] 232.1660 233.3011 244.0761 229.5535
#> [219,] 230.2197 231.3549 242.1299 227.6073
#> [220,] 232.5073 233.6424 244.4174 229.8948
#> [221,] 232.3719 233.5070 244.2820 229.7594
#> [222,] 230.4323 231.5674 242.3424 227.8198
#> [223,] 230.2911 231.4262 242.2012 227.6786
#> [224,] 232.7296 233.8648 244.6398 230.1172
#> [225,] 230.5087 231.6438 242.4188 227.8962
#> [226,] 230.1883 231.3234 242.0984 227.5758
#> [227,] 228.7073 229.8425 240.6175 226.0949
#> [228,] 230.2375 231.3727 242.1477 227.6251
#> [229,] 230.7042 231.8393 242.6143 228.0917
#> [230,] 231.8068 232.9419 243.7169 229.1943
#> [231,] 230.1529 231.2880 242.0630 227.5404
#> [232,] 231.9601 233.0952 243.8702 229.3476
#> [233,] 232.3063 233.4415 244.2165 229.6939
#> [234,] 230.2475 231.3826 242.1576 227.6350
#> [235,] 232.0716 233.2068 243.9818 229.4592
#> [236,] 232.2916 233.4267 244.2017 229.6792
#> [237,] 230.3950 231.5302 242.3052 227.7826
#> [238,] 230.5407 231.6758 242.4508 227.9282
#> [239,] 232.4630 233.5981 244.3731 229.8505
#> [240,] 230.1051 231.2403 242.0153 227.4927
#> [241,] 228.5030 229.6382 240.4132 225.8906
#> [242,] 230.3123 231.4474 242.2224 227.6998
#> [243,] 230.5989 231.7340 242.5090 227.9864
#> [244,] 228.2524 229.3875 240.1625 225.6399
#> [245,] 230.0934 231.2285 242.0035 227.4810
#> [246,] 230.0460 231.1811 241.9561 227.4335
#> [247,] 228.4454 229.5806 240.3556 225.8330
#> [248,] 228.4750 229.6101 240.3851 225.8626
#> [249,] 230.5145 231.6496 242.4246 227.9020
#> [250,] 229.9832 231.1183 241.8933 227.3707
#> [251,] 232.2478 233.3829 244.1579 229.6353
#> [252,] 232.1780 233.3131 244.0881 229.5656
#> [253,] 230.2717 231.4068 242.1818 227.6593
#> [254,] 230.2288 231.3640 242.1390 227.6164
#> [255,] 232.6378 233.7730 244.5480 230.0254
#> [256,] 230.5209 231.6560 242.4310 227.9084
#> [257,] 230.1757 231.3109 242.0859 227.5633
#> [258,] 232.7602 233.8954 244.6704 230.1478
#> [259,] 230.6765 231.8116 242.5866 228.0640
#> [260,] 230.8153 231.9505 242.7255 228.2029
#> [261,] 231.9717 233.1068 243.8818 229.3593
#> [262,] 232.3164 233.4515 244.2265 229.7040
#> [263,] 230.5277 231.6628 242.4378 227.9152
#> [264,] 232.3613 233.4964 244.2714 229.7489
#> [265,] 232.5946 233.7298 244.5048 229.9822
#> [266,] 230.8510 231.9861 242.7611 228.2385
#> [267,] 230.9078 232.0430 242.8180 228.2954
#> [268,] 228.9951 230.1302 240.9052 226.3827
#> [269,] 231.0633 232.1984 242.9734 228.4509
#> [270,] 231.0919 232.2270 243.0020 228.4794
#> [271,] 232.4702 233.6053 244.3803 229.8578
#> [272,] 230.3319 231.4670 242.2420 227.7194
#> [273,] 232.6959 233.8311 244.6060 230.0835
#> [274,] 232.6830 233.8182 244.5932 230.0706
#> [275,] 230.8299 231.9651 242.7401 228.2175
#> [276,] 233.3134 234.4485 245.2235 230.7009
#> [277,] 233.0704 234.2055 244.9805 230.4580
#> [278,] 231.0389 232.1740 242.9490 228.4264
#> [279,] 230.7815 231.9166 242.6916 228.1690
#> [280,] 233.4198 234.5549 245.3299 230.8073
#> [281,] 231.0357 232.1708 242.9458 228.4232
#> [282,] 230.8541 231.9892 242.7642 228.2417
#> [283,] 229.2541 230.3892 241.1642 226.6417
#> [284,] 230.8462 231.9813 242.7563 228.2337
#> [285,] 231.2982 232.4333 243.2083 228.6857
#> [286,] 232.2306 233.3657 244.1407 229.6182
#> [287,] 230.5062 231.6414 242.4164 227.8938
#> [288,] 232.3129 233.4480 244.2230 229.7005
#> [289,] 232.6679 233.8030 244.5780 230.0555
#> [290,] 230.7059 231.8410 242.6160 228.0934
#> [291,] 232.5760 233.7111 244.4861 229.9635
#> [292,] 232.7931 233.9282 244.7032 230.1807
#> [293,] 230.8277 231.9628 242.7378 228.2152
#> [294,] 230.9503 232.0854 242.8604 228.3378
#> [295,] 232.8993 234.0345 244.8095 230.2869
#> [296,] 230.8896 232.0248 242.7998 228.2772
#> [297,] 229.0756 230.2108 240.9858 226.4632
#> [298,] 231.0875 232.2226 242.9976 228.4750
#> [299,] 231.2666 232.4018 243.1767 228.6542
#> [300,] 228.9404 230.0755 240.8505 226.3279
#> [301,] 231.0606 232.1957 242.9707 228.4481
#> [302,] 230.8158 231.9509 242.7259 228.2033
#> [303,] 229.1676 230.3027 241.0777 226.5551
#> [304,] 229.0264 230.1615 240.9365 226.4139
#> [305,] 231.3438 232.4789 243.2539 228.7314
#> [306,] 230.5124 231.6475 242.4225 227.8999
#> [307,] 232.9694 234.1046 244.8796 230.3570
#> [308,] 232.7949 233.9301 244.7051 230.1825
#> [309,] 230.8080 231.9431 242.7181 228.1955
#> [310,] 230.6635 231.7987 242.5737 228.0511
#> [311,] 233.2567 234.3918 245.1668 230.6442
#> [312,] 231.2255 232.3606 243.1356 228.6131
#> [313,] 230.6908 231.8260 242.6010 228.0784
#> [314,] 233.5652 234.7003 245.4753 230.9528
#> [315,] 231.2582 232.3933 243.1683 228.6458
#> [316,] 230.4188 231.5539 242.3289 227.8063
#> [317,] 230.3534 231.4886 242.2636 227.7410
#> [318,] 228.7575 229.8926 240.6676 226.1451
#> [319,] 230.4191 231.5543 242.3293 227.8067
#> [320,] 230.7261 231.8613 242.6363 228.1137
#> [321,] 231.6006 232.7357 243.5107 228.9881
#> [322,] 229.8838 231.0189 241.7939 227.2713
#> [323,] 231.7696 232.9047 243.6797 229.1571
#> [324,] 231.9948 233.1299 243.9049 229.3823
#> [325,] 230.2083 231.3435 242.1185 227.5959
#> [326,] 232.1124 233.2475 244.0225 229.4999
#> [327,] 232.2239 233.3590 244.1340 229.6114
#> [328,] 230.3540 231.4891 242.2641 227.7415
#> [329,] 230.3857 231.5208 242.2958 227.7732
#> [330,] 232.4182 233.5533 244.3283 229.8058
#> [331,] 230.3313 231.4665 242.2415 227.7189
#> [332,] 228.5320 229.6671 240.4421 225.9195
#> [333,] 230.5711 231.7063 242.4813 227.9587
#> [334,] 230.6254 231.7605 242.5355 228.0129
#> [335,] 228.5590 229.6942 240.4692 225.9466
#> [336,] 230.6477 231.7828 242.5578 228.0352
#> [337,] 230.3494 231.4845 242.2595 227.7369
#> [338,] 228.7650 229.9001 240.6751 226.1525
#> [339,] 228.5504 229.6856 240.4606 225.9380
#> [340,] 230.8623 231.9975 242.7725 228.2499
#> [341,] 229.9577 231.0928 241.8678 227.3453
#> [342,] 232.3767 233.5118 244.2868 229.7642
#> [343,] 232.1389 233.2741 244.0491 229.5265
#> [344,] 230.2388 231.3740 242.1490 227.6264
#> [345,] 230.0305 231.1657 241.9407 227.4181
#> [346,] 232.6166 233.7518 244.5268 230.0042
#> [347,] 230.7707 231.9058 242.6808 228.1582
#> [348,] 230.2472 231.3824 242.1574 227.6348
#> [349,] 233.0229 234.1580 244.9330 230.4104
#> [350,] 230.7365 231.8717 242.6466 228.1241
#> [351,] 230.4176 231.5527 242.3277 227.8051
#> [352,] 228.8897 230.0249 240.7999 226.2773
#> [353,] 230.5152 231.6503 242.4253 227.9027
#> [354,] 230.9603 232.0954 242.8704 228.3479
#> [355,] 228.7146 229.8497 240.6247 226.1021
#> [356,] 230.3522 231.4873 242.2623 227.7398
#> [357,] 230.5213 231.6564 242.4314 227.9088
#> [358,] 228.8281 229.9633 240.7383 226.2157
#> [359,] 228.9497 230.0849 240.8599 226.3373
#> [360,] 230.8288 231.9639 242.7389 228.2163
#> [361,] 230.0294 231.1646 241.9396 227.4170
#> [362,] 231.9216 233.0568 243.8318 229.3092
#> [363,] 232.1128 233.2479 244.0229 229.5003
#> [364,] 230.2397 231.3749 242.1499 227.6273
#> [365,] 230.3666 231.5017 242.2767 227.7541
#> [366,] 232.3817 233.5168 244.2918 229.7693
#> [367,] 230.4754 231.6105 242.3855 227.8629
#> [368,] 230.3632 231.4984 242.2734 227.7508
#> [369,] 232.5458 233.6809 244.4559 229.9333
#> [370,] 230.7475 231.8826 242.6576 228.1350
#> [371,] 228.4794 229.6145 240.3895 225.8669
#> [372,] 230.5257 231.6609 242.4359 227.9133
#> [373,] 230.3259 231.4611 242.2361 227.7135
#> [374,] 228.7413 229.8764 240.6514 226.1288
#> [375,] 228.6614 229.7966 240.5716 226.0490
#> [376,] 230.9261 232.0613 242.8363 228.3137
#> [377,] 228.6840 229.8192 240.5942 226.0716
#> [378,] 228.1076 229.2427 240.0177 225.4952
#> [379,] 230.5721 231.7072 242.4822 227.9596
#> [380,] 228.7883 229.9235 240.6985 226.1759
#> [381,] 230.3883 231.5234 242.2984 227.7758
#> [382,] 229.9152 231.0503 241.8253 227.3027
#> [383,] 232.6825 233.8176 244.5926 230.0700
#> [384,] 230.5501 231.6852 242.4602 227.9377
#> [385,] 230.6719 231.8070 242.5820 228.0594
#> [386,] 232.2436 233.7779 246.5358 229.1087
#> [387,] 233.5985 235.1327 247.8907 230.4636
#> [388,] 233.8349 235.3691 248.1270 230.6999
#> [389,] 232.1390 233.6732 246.4311 229.0041
#> [390,] 233.8871 235.4213 248.1792 230.7521
#> [391,] 234.1357 235.6699 248.4278 231.0008
#> [392,] 232.1781 233.7124 246.4703 229.0432
#> [393,] 232.0667 233.6010 246.3589 228.9318
#> [394,] 230.3814 231.9157 244.6736 227.2465
#> [395,] 232.2091 233.7434 246.5013 229.0742
#> [396,] 232.3770 233.9112 246.6691 229.2420
#> [397,] 233.8382 235.3725 248.1304 230.7033
#> [398,] 231.8836 233.4178 246.1757 228.7486
#> [399,] 234.0542 235.5885 248.3464 230.9193
#> [400,] 234.1217 235.6560 248.4139 230.9868
#> [401,] 232.2186 233.7529 246.5108 229.0837
#> [402,] 234.4758 236.0100 248.7679 231.3408
#> [403,] 234.3633 235.8975 248.6555 231.2284
#> [404,] 232.4267 233.9609 246.7188 229.2917
#> [405,] 232.2909 233.8252 246.5831 229.1560
#> [406,] 234.6699 236.2041 248.9620 231.5349
#> [407,] 232.4736 234.0079 246.7658 229.3387
#> [408,] 232.1850 233.7192 246.4772 229.0501
#> [409,] 230.7073 232.2415 244.9994 227.5723
#> [410,] 232.1920 233.7262 246.4841 229.0571
#> [411,] 232.6764 234.2106 246.9685 229.5415
#> [412,] 233.7803 235.3145 248.0724 230.6453
#> [413,] 232.1440 233.6782 246.4362 229.0091
#> [414,] 233.8672 235.4014 248.1593 230.7322
#> [415,] 234.2297 235.7640 248.5219 231.0948
#> [416,] 232.2475 233.7817 246.5396 229.1126
#> [417,] 234.0249 235.5591 248.3170 230.8899
#> [418,] 234.2695 235.8038 248.5617 231.1346
#> [419,] 232.3775 233.9117 246.6696 229.2425
#> [420,] 232.5353 234.0695 246.8274 229.4003
#> [421,] 234.3590 235.8933 248.6512 231.2241
#> [422,] 232.1045 233.6388 246.3967 228.9696
#> [423,] 230.5028 232.0371 244.7950 227.3679
#> [424,] 232.2784 233.8127 246.5706 229.1435
#> [425,] 232.5806 234.1149 246.8728 229.4457
#> [426,] 230.2313 231.7656 244.5235 227.0964
#> [427,] 232.0899 233.6242 246.3821 228.9550
#> [428,] 232.0420 233.5763 246.3342 228.9071
#> [429,] 230.4454 231.9796 244.7375 227.3104
#> [430,] 230.4701 232.0043 244.7622 227.3351
#> [431,] 232.4891 234.0233 246.7812 229.3541
#> [432,] 231.9808 233.5151 246.2730 228.8459
#> [433,] 234.2194 235.7536 248.5115 231.0844
#> [434,] 234.1718 235.7061 248.4640 231.0369
#> [435,] 232.2642 233.7984 246.5563 229.1292
#> [436,] 232.2282 233.7624 246.5204 229.0933
#> [437,] 234.5681 236.1024 248.8603 231.4332
#> [438,] 232.5209 234.0551 246.8130 229.3860
#> [439,] 232.1584 233.6926 246.4505 229.0234
#> [440,] 234.7424 236.2766 249.0345 231.6074
#> [441,] 232.6733 234.2076 246.9655 229.5384
#> [442,] 231.9478 233.4820 246.2399 228.8129
#> [443,] 231.7598 233.2940 246.0519 228.6248
#> [444,] 230.2717 231.8059 244.5638 227.1368
#> [445,] 231.8473 233.3816 246.1395 228.7124
#> [446,] 232.1901 233.7243 246.4823 229.0552
#> [447,] 233.2294 234.7636 247.5215 230.0945
#> [448,] 231.5856 233.1198 245.8777 228.4506
#> [449,] 233.4100 234.9443 247.7022 230.2751
#> [450,] 233.6478 235.1820 247.9399 230.5128
#> [451,] 231.8054 233.3396 246.0975 228.6704
#> [452,] 233.6390 235.1732 247.9311 230.5040
#> [453,] 233.7768 235.3111 248.0690 230.6419
#> [454,] 231.9664 233.5006 246.2585 228.8314
#> [455,] 232.0308 233.5651 246.3230 228.8959
#> [456,] 233.9696 235.5039 248.2618 230.8347
#> [457,] 231.6357 233.1699 245.9278 228.5007
#> [458,] 230.0263 231.5605 244.3185 226.8914
#> [459,] 231.8704 233.4046 246.1626 228.7355
#> [460,] 232.0392 233.5734 246.3313 228.9042
#> [461,] 229.8975 231.4318 244.1897 226.7626
#> [462,] 231.7641 233.2984 246.0563 228.6292
#> [463,] 231.6381 233.1723 245.9303 228.5032
#> [464,] 230.1074 231.6416 244.3995 226.9724
#> [465,] 230.0428 231.5770 244.3350 226.9079
#> [466,] 232.1090 233.6432 246.4011 228.9740
#> [467,] 231.4892 233.0235 245.7814 228.3543
#> [468,] 233.7347 235.2690 248.0269 230.5998
#> [469,] 233.6044 235.1386 247.8965 230.4695
#> [470,] 231.7748 233.3091 246.0670 228.6399
#> [471,] 231.6607 233.1949 245.9528 228.5257
#> [472,] 234.0510 235.5852 248.3431 230.9160
#> [473,] 232.1348 233.6691 246.4270 228.9999
#> [474,] 231.7537 233.2879 246.0458 228.6187
#> [475,] 234.3009 235.8351 248.5930 231.1659
#> [476,] 232.2245 233.7587 246.5166 229.0895
#> [477,] 231.8460 233.3803 246.1382 228.7111
#> [478,] 230.4218 231.9561 244.7140 227.2869
#> [479,] 231.9622 233.4965 246.2544 228.8273
#> [480,] 232.4333 233.9676 246.7255 229.2984
#> [481,] 230.1368 231.6710 244.4290 227.0019
#> [482,] 231.6828 233.2170 245.9749 228.5478
#> [483,] 231.8971 233.4313 246.1892 228.7621
#> [484,] 230.2744 231.8087 244.5666 227.1395
#> [485,] 230.4474 231.9817 244.7396 227.3125
#> [486,] 232.2071 233.7414 246.4993 229.0722
#> [487,] 231.6609 233.1952 245.9531 228.5260
#> [488,] 233.4848 235.0191 247.7770 230.3499
#> [489,] 233.6992 235.2334 247.9913 230.5642
#> [490,] 231.8838 233.4181 246.1760 228.7489
#> [491,] 232.0376 233.5718 246.3297 228.9026
#> [492,] 233.9599 235.4942 248.2521 230.8250
#> [493,] 232.0161 233.5504 246.3083 228.8812
#> [494,] 231.9497 233.4839 246.2418 228.8148
#> [495,] 234.0282 235.5624 248.3203 230.8932
#> [496,] 232.3303 233.8646 246.6225 229.1954
#> [497,] 229.8737 231.4080 244.1659 226.7388
#> [498,] 231.7038 233.2380 245.9959 228.5688
#> [499,] 231.6669 233.2011 245.9590 228.5319
#> [500,] 230.1305 231.6648 244.4227 226.9956
#> [501,] 230.1856 231.7198 244.4778 227.0507
#> [502,] 232.2066 233.7408 246.4987 229.0716
#> [503,] 229.9208 231.4550 244.2130 226.7859
#> [504,] 229.5437 231.0779 243.8358 226.4087
#> [505,] 231.7412 233.2755 246.0334 228.6063
#> [506,] 230.1786 231.7128 244.4707 227.0436
#> [507,] 231.8318 233.3660 246.1239 228.6968
#> [508,] 231.4947 233.0290 245.7869 228.3598
#> [509,] 234.0406 235.5749 248.3328 230.9057
#> [510,] 232.0927 233.6269 246.3848 228.9577
#> [511,] 232.0997 233.6339 246.3919 228.9648
#> [512,] 232.4047 233.9389 246.6968 229.2697
#> [513,] 232.3534 233.8877 246.6456 229.2185
#> [514,] 230.7545 232.2887 245.0466 227.6195
#> [515,] 232.3980 233.9322 246.6901 229.2630
#> [516,] 232.7173 234.2515 247.0094 229.5823
#> [517,] 233.5899 235.1241 247.8821 230.4550
#> [518,] 231.8830 233.4172 246.1751 228.7480
#> [519,] 233.7155 235.2497 248.0076 230.5805
#> [520,] 233.9544 235.4886 248.2465 230.8194
#> [521,] 232.2057 233.7399 246.4978 229.0707
#> [522,] 234.0881 235.6223 248.3802 230.9532
#> [523,] 234.2165 235.7507 248.5086 231.0815
#> [524,] 232.3498 233.8840 246.6419 229.2148
#> [525,] 232.3857 233.9199 246.6778 229.2507
#> [526,] 234.3588 235.8931 248.6510 231.2239
#> [527,] 232.3294 233.8637 246.6216 229.1945
#> [528,] 230.5237 232.0579 244.8158 227.3887
#> [529,] 232.5610 234.0953 246.8532 229.4261
#> [530,] 232.6231 234.1574 246.9153 229.4882
#> [531,] 230.5147 232.0489 244.8069 227.3798
#> [532,] 232.6475 234.1818 246.9397 229.5126
#> [533,] 232.3300 233.8642 246.6222 229.1951
#> [534,] 230.7595 232.2937 245.0516 227.6246
#> [535,] 230.5268 232.0611 244.8190 227.3919
#> [536,] 232.8580 234.3922 247.1502 229.7231
#> [537,] 231.9444 233.4786 246.2365 228.8095
#> [538,] 234.3683 235.9026 248.6605 231.2334
#> [539,] 234.1389 235.6732 248.4311 231.0040
#> [540,] 232.2388 233.7731 246.5310 229.1039
#> [541,] 232.0272 233.5615 246.3194 228.8923
#> [542,] 234.5887 236.1229 248.8809 231.4538
#> [543,] 232.7651 234.2994 247.0573 229.6302
#> [544,] 232.2048 233.7390 246.4969 229.0698
#> [545,] 235.0209 236.5552 249.3131 231.8860
#> [546,] 232.7352 234.2694 247.0273 229.6002
#> [547,] 232.4176 233.9518 246.7097 229.2826
#> [548,] 230.8882 232.4224 245.1803 227.7532
#> [549,] 232.4875 234.0218 246.7797 229.3526
#> [550,] 232.9466 234.4808 247.2387 229.8116
#> [551,] 230.6861 232.2203 244.9782 227.5511
#> [552,] 232.3505 233.8847 246.6427 229.2156
#> [553,] 232.5151 234.0494 246.8073 229.3802
#> [554,] 230.8280 232.3622 245.1201 227.6930
#> [555,] 230.9394 232.4736 245.2315 227.8044
#> [556,] 232.8062 234.3405 247.0984 229.6713
#> [557,] 232.0250 233.5593 246.3172 228.8901
#> [558,] 233.8995 235.4337 248.1916 230.7645
#> [559,] 234.1076 235.6419 248.3998 230.9727
#> [560,] 232.2338 233.7680 246.5259 229.0988
#> [561,] 232.3664 233.9006 246.6585 229.2314
#> [562,] 234.3123 235.8465 248.6044 231.1773
#> [563,] 232.4752 234.0094 246.7673 229.3402
#> [564,] 232.3435 233.8778 246.6357 229.2086
#> [565,] 234.5261 236.0604 248.8183 231.3912
#> [566,] 232.7443 234.2785 247.0364 229.6093
#> [567,] 230.4338 231.9680 244.7259 227.2989
#> [568,] 232.5256 234.0599 246.8178 229.3907
#> [569,] 232.3065 233.8407 246.5986 229.1715
#> [570,] 230.7383 232.2725 245.0304 227.6033
#> [571,] 230.6441 232.1783 244.9362 227.5091
#> [572,] 232.9176 234.4518 247.2097 229.7826
#> [573,] 230.6505 232.1848 244.9427 227.5156
#> [574,] 229.9803 231.5145 244.2725 226.8454
#> [575,] 232.5613 234.0955 246.8534 229.4264
#> [576,] 230.7751 232.3093 245.0673 227.6402
#> [577,] 232.3812 233.9154 246.6733 229.2462
#> [578,] 231.8661 233.4003 246.1582 228.7311
#> [579,] 234.6811 236.2153 248.9732 231.5462
#> [580,] 232.5498 234.0841 246.8420 229.4149
#> [581,] 232.6396 234.1739 246.9318 229.5047
#> [582,] 231.8685 233.4028 246.1607 228.7336
#> [583,] 230.3426 231.8768 244.6347 227.2077
#> [584,] 232.0111 233.5453 246.3033 228.8762
#> [585,] 232.3205 233.8547 246.6126 229.1856
#> [586,] 230.2930 231.8272 244.5851 227.1580
#> [587,] 231.9641 233.4984 246.2563 228.8292
#> [588,] 232.0382 233.5724 246.3303 228.9032
#> [589,] 230.4345 231.9687 244.7266 227.2995
#> [590,] 230.4547 231.9890 244.7469 227.3198
#> [591,] 232.3653 233.8996 246.6575 229.2304
#> [592,] 231.4774 233.0116 245.7695 228.3424
#> [593,] 233.3743 234.9086 247.6665 230.2394
#> [594,] 233.4753 235.0096 247.7675 230.3404
#> [595,] 231.7025 233.2368 245.9947 228.5676
#> [596,] 231.7404 233.2747 246.0326 228.6055
#> [597,] 233.7644 235.2986 248.0565 230.6294
#> [598,] 232.0486 233.5829 246.3408 228.9137
#> [599,] 231.8825 233.4167 246.1747 228.7476
#> [600,] 234.0483 235.5826 248.3405 230.9134
#> [601,] 232.2559 233.7901 246.5480 229.1209
#> [602,] 230.0113 231.5456 244.3035 226.8764
#> [603,] 232.0663 233.6006 246.3585 228.9314
#> [604,] 231.7932 233.3275 246.0854 228.6583
#> [605,] 230.2889 231.8232 244.5811 227.1540
#> [606,] 230.1177 231.6519 244.4098 226.9827
#> [607,] 232.3853 233.9196 246.6775 229.2504
#> [608,] 230.3405 231.8748 244.6327 227.2056
#> [609,] 229.7189 231.2532 244.0111 226.5840
#> [610,] 232.1668 233.7010 246.4589 229.0318
#> [611,] 230.3743 231.9086 244.6665 227.2394
#> [612,] 231.8790 233.4132 246.1711 228.7440
#> [613,] 231.3779 232.9121 245.6701 228.2430
#> [614,] 234.0795 235.6137 248.3716 230.9446
#> [615,] 231.9707 233.5049 246.2629 228.8358
#> [616,] 232.2219 233.7562 246.5141 229.0870
#> [617,] 230.2724 231.8067 244.5646 227.1375
#> [618,] 231.9165 233.4508 246.2087 228.7816
#> [619,] 232.0787 233.6130 246.3709 228.9438
#> [620,] 230.4615 231.9958 244.7537 227.3266
#> [621,] 230.5953 232.1295 244.8874 227.4603
#> [622,] 232.4725 234.0068 246.7647 229.3376
#> [623,] 230.3208 231.8551 244.6130 227.1859
#> [624,] 230.0477 231.5819 244.3398 226.9127
#> [625,] 232.1345 233.6688 246.4267 228.9996
#> [626,] 230.6204 232.1546 244.9125 227.4854
#> [627,] 231.7893 233.3236 246.0815 228.6544
#> [628,] 231.6599 233.1942 245.9521 228.5250
#> [629,] 233.8495 235.3838 248.1417 230.7146
#> [630,] 232.1527 233.6869 246.4449 229.0178
#> [631,] 232.2208 233.7551 246.5130 229.0859
#> [632,] 230.1743 231.7085 244.4664 227.0393
#> [633,] 229.6314 231.1657 243.9236 226.4965
#> [634,] 232.0565 233.5907 246.3486 228.9215
#> [635,] 230.3938 231.9280 244.6859 227.2588
#> [636,] 229.9195 231.4537 244.2116 226.7845
#> [637,] 231.8450 233.3792 246.1371 228.7100
#> [638,] 233.9232 235.9232 250.5974 230.2658
#> [639,] 233.7581 235.7581 250.4323 230.1007
#> [640,] 232.2715 234.2715 248.9457 228.6141
#> [641,] 233.8126 235.8126 250.4867 230.1551
#> [642,] 234.1711 236.1711 250.8453 230.5137
#> [643,] 235.2102 237.2102 251.8843 231.5527
#> [644,] 233.5814 235.5814 250.2556 229.9240
#> [645,] 235.3376 237.3376 252.0118 231.6801
#> [646,] 235.5901 237.5901 252.2642 231.9326
#> [647,] 233.8052 235.8052 250.4794 230.1478
#> [648,] 235.6016 237.6016 252.2758 231.9441
#> [649,] 235.7603 237.7603 252.4345 232.1029
#> [650,] 233.9555 235.9555 250.6297 230.2980
#> [651,] 234.0287 236.0287 250.7029 230.3713
#> [652,] 235.8871 237.8871 252.5612 232.2296
#> [653,] 233.6356 235.6356 250.3098 229.9782
#> [654,] 232.0247 234.0247 248.6989 228.3673
#> [655,] 233.8464 235.8464 250.5206 230.1890
#> [656,] 234.0284 236.0284 250.7026 230.3710
#> [657,] 231.8726 233.8726 248.5468 228.2152
#> [658,] 233.7624 235.7624 250.4365 230.1049
#> [659,] 233.6320 235.6320 250.3062 229.9746
#> [660,] 232.1071 234.1071 248.7813 228.4497
#> [661,] 232.0339 234.0339 248.7081 228.3765
#> [662,] 234.0919 236.0919 250.7661 230.4345
#> [663,] 233.4847 235.4847 250.1589 229.8273
#> [664,] 235.7145 237.7145 252.3887 232.0570
#> [665,] 235.6013 237.6013 252.2755 231.9439
#> [666,] 233.7717 235.7717 250.4459 230.1143
#> [667,] 233.6606 235.6606 250.3348 230.0032
#> [668,] 236.0001 238.0001 252.6742 232.3426
#> [669,] 234.1344 236.1344 250.8086 230.4770
#> [670,] 233.7322 235.7322 250.4064 230.0748
#> [671,] 236.2889 238.2889 252.9631 232.6315
#> [672,] 234.2238 236.2238 250.8980 230.5664
#> [673,] 233.8444 235.8444 250.5186 230.1870
#> [674,] 232.4218 234.4218 249.0960 228.7644
#> [675,] 233.9200 235.9200 250.5942 230.2626
#> [676,] 234.4079 236.4079 251.0821 230.7505
#> [677,] 232.1201 234.1201 248.7943 228.4627
#> [678,] 233.6764 235.6764 250.3506 230.0189
#> [679,] 233.8959 235.8959 250.5700 230.2384
#> [680,] 232.2735 234.2735 248.9477 228.6161
#> [681,] 232.4442 234.4442 249.1184 228.7868
#> [682,] 234.1689 236.1689 250.8431 230.5115
#> [683,] 233.6600 235.6600 250.3342 230.0026
#> [684,] 235.4503 237.4503 252.1245 231.7929
#> [685,] 235.6863 237.6863 252.3604 232.0288
#> [686,] 233.8707 235.8707 250.5449 230.2132
#> [687,] 234.0346 236.0346 250.7087 230.3771
#> [688,] 235.8668 237.8668 252.5410 232.2094
#> [689,] 234.0155 236.0155 250.6897 230.3581
#> [690,] 233.9405 235.9405 250.6146 230.2830
#> [691,] 235.9940 237.9940 252.6682 232.3366
#> [692,] 234.3200 236.3200 250.9942 230.6626
#> [693,] 231.8475 233.8475 248.5217 228.1900
#> [694,] 233.7020 235.7020 250.3762 230.0446
#> [695,] 233.6606 235.6606 250.3348 230.0031
#> [696,] 232.1305 234.1305 248.8047 228.4731
#> [697,] 232.1799 234.1799 248.8541 228.5225
#> [698,] 234.1829 236.1829 250.8571 230.5255
#> [699,] 231.9048 233.9048 248.5790 228.2474
#> [700,] 231.4569 233.4569 248.1311 227.7995
#> [701,] 233.7399 235.7399 250.4141 230.0825
#> [702,] 232.1761 234.1761 248.8502 228.5186
#> [703,] 233.8307 235.8307 250.5049 230.1733
#> [704,] 233.4675 235.4675 250.1417 229.8101
#> [705,] 236.0306 238.0306 252.7048 232.3732
#> [706,] 234.0909 236.0909 250.7651 230.4335
#> [707,] 234.0868 236.0868 250.7610 230.4294
#> [708,] 233.3723 235.3723 250.0465 229.7149
#> [709,] 231.9400 233.9400 248.6141 228.2825
#> [710,] 233.5287 235.5287 250.2029 229.8712
#> [711,] 233.8702 235.8702 250.5443 230.2127
#> [712,] 231.7758 233.7758 248.4500 228.1184
#> [713,] 233.3593 235.3593 250.0335 229.7019
#> [714,] 233.4819 235.4819 250.1561 229.8245
#> [715,] 231.9373 233.9373 248.6114 228.2798
#> [716,] 232.0115 234.0115 248.6857 228.3541
#> [717,] 233.8110 235.8110 250.4852 230.1536
#> [718,] 233.1656 235.1656 249.8398 229.5082
#> [719,] 235.0004 237.0004 251.6746 231.3430
#> [720,] 235.1270 237.1270 251.8012 231.4696
#> [721,] 233.4010 235.4010 250.0752 229.7436
#> [722,] 233.4676 235.4676 250.1418 229.8102
#> [723,] 235.4088 237.4088 252.0829 231.7513
#> [724,] 233.6422 235.6422 250.3164 229.9847
#> [725,] 233.5208 235.5208 250.1950 229.8634
#> [726,] 235.5927 237.5927 252.2669 231.9353
#> [727,] 233.8926 235.8926 250.5668 230.2352
#> [728,] 231.4751 233.4751 248.1493 227.8177
#> [729,] 233.3322 235.3322 250.0064 229.6748
#> [730,] 233.2121 235.2121 249.8863 229.5547
#> [731,] 231.7497 233.7497 248.4238 228.0922
#> [732,] 231.7063 233.7063 248.3805 228.0489
#> [733,] 233.7553 235.7553 250.4295 230.0979
#> [734,] 231.6429 233.6429 248.3171 227.9855
#> [735,] 231.2088 233.2088 247.8830 227.5514
#> [736,] 233.4124 235.4124 250.0866 229.7550
#> [737,] 231.8286 233.8286 248.5028 228.1712
#> [738,] 233.3944 235.3944 250.0686 229.7370
#> [739,] 233.0163 235.0163 249.6904 229.3588
#> [740,] 235.5246 237.5246 252.1988 231.8672
#> [741,] 233.5832 235.5832 250.2574 229.9258
#> [742,] 233.7136 235.7136 250.3878 230.0562
#> [743,] 231.7835 233.7835 248.4577 228.1261
#> [744,] 233.3418 235.3418 250.0160 229.6844
#> [745,] 233.5472 235.5472 250.2214 229.8897
#> [746,] 231.9883 233.9883 248.6625 228.3309
#> [747,] 232.1678 234.1678 248.8420 228.5104
#> [748,] 233.9340 235.9340 250.6082 230.2766
#> [749,] 231.7382 233.7382 248.4124 228.0808
#> [750,] 231.5329 233.5329 248.2071 227.8755
#> [751,] 233.4997 235.4997 250.1739 229.8423
#> [752,] 232.1052 234.1052 248.7794 228.4478
#> [753,] 233.4218 235.4218 250.0960 229.7644
#> [754,] 233.3359 235.3359 250.0101 229.6785
#> [755,] 235.4316 237.4316 252.1058 231.7742
#> [756,] 233.8183 235.8183 250.4925 230.1609
#> [757,] 233.8018 235.8018 250.4760 230.1444
#> [758,] 231.5368 233.5368 248.2109 227.8793
#> [759,] 231.1713 233.1713 247.8455 227.5139
#> [760,] 233.3565 235.3565 250.0307 229.6991
#> [761,] 231.8809 233.8809 248.5551 228.2235
#> [762,] 231.3199 233.3199 247.9941 227.6625
#> [763,] 233.4071 235.4071 250.0813 229.7496
#> [764,] 233.8683 235.8683 250.5425 230.2109
#> [765,] 232.3386 234.3386 249.0128 228.6812
#> [766,] 233.9922 235.9922 250.6663 230.3347
#> [767,] 234.3128 236.3128 250.9870 230.6554
#> [768,] 232.2605 234.2605 248.9347 228.6031
#> [769,] 233.9635 235.9635 250.6377 230.3061
#> [770,] 234.0298 236.0298 250.7040 230.3724
#> [771,] 232.4333 234.4333 249.1075 228.7758
#> [772,] 232.4394 234.4394 249.1135 228.7819
#> [773,] 234.3506 236.3506 251.0248 230.6932
#> [774,] 233.4704 235.4704 250.1446 229.8130
#> [775,] 235.3588 237.3588 252.0330 231.7014
#> [776,] 235.4727 237.4727 252.1469 231.8153
#> [777,] 233.7002 235.7002 250.3744 230.0428
#> [778,] 233.7402 235.7402 250.4144 230.0828
#> [779,] 235.7130 237.7130 252.3872 232.0556
#> [780,] 234.0476 236.0476 250.7218 230.3902
#> [781,] 233.8592 235.8592 250.5334 230.2018
#> [782,] 236.0346 238.0346 252.7088 232.3772
#> [783,] 234.2552 236.2552 250.9293 230.5977
#> [784,] 231.9602 233.9602 248.6344 228.3028
#> [785,] 234.0655 236.0655 250.7397 230.4081
#> [786,] 233.7695 235.7695 250.4437 230.1121
#> [787,] 232.2828 234.2828 248.9570 228.6254
#> [788,] 232.0936 234.0936 248.7678 228.4362
#> [789,] 234.3814 236.3814 251.0556 230.7239
#> [790,] 232.3023 234.3023 248.9764 228.6448
#> [791,] 231.5857 233.5857 248.2599 227.9283
#> [792,] 234.1525 236.1525 250.8267 230.4951
#> [793,] 232.3552 234.3552 249.0294 228.6978
#> [794,] 233.8682 235.8682 250.5424 230.2108
#> [795,] 233.3225 235.3225 249.9967 229.6651
#> [796,] 236.0793 238.0793 252.7535 232.4219
#> [797,] 233.9685 235.9685 250.6427 230.3111
#> [798,] 234.1834 236.1834 250.8576 230.5260
#> [799,] 232.2379 234.2379 248.9120 228.5804
#> [800,] 233.9159 235.9159 250.5901 230.2585
#> [801,] 234.0695 236.0695 250.7437 230.4121
#> [802,] 232.4612 234.4612 249.1354 228.8038
#> [803,] 232.5838 234.5838 249.2580 228.9264
#> [804,] 234.4515 236.4515 251.1256 230.7940
#> [805,] 232.3000 234.3000 248.9741 228.6425
#> [806,] 231.9383 233.9383 248.6125 228.2809
#> [807,] 234.1329 236.1329 250.8071 230.4755
#> [808,] 232.6152 234.6152 249.2894 228.9578
#> [809,] 233.7875 235.7875 250.4617 230.1301
#> [810,] 233.6293 235.6293 250.3035 229.9719
#> [811,] 235.8380 237.8380 252.5122 232.1806
#> [812,] 234.1509 236.1509 250.8251 230.4935
#> [813,] 234.2089 236.2089 250.8831 230.5515
#> [814,] 232.1354 234.1354 248.8096 228.4779
#> [815,] 231.4954 233.4954 248.1696 227.8380
#> [816,] 234.0428 236.0428 250.7170 230.3854
#> [817,] 232.3805 234.3805 249.0547 228.7231
#> [818,] 231.8071 233.8071 248.4813 228.1497
#> [819,] 233.8026 235.8026 250.4768 230.1452
#> [820,] 231.8065 233.8065 248.4807 228.1491
#> [821,] 233.4857 235.4857 250.1599 229.8283
#> [822,] 233.5483 235.5483 250.2225 229.8909
#> [823,] 232.0236 234.0236 248.6978 228.3662
#> [824,] 232.0516 234.0516 248.7258 228.3942
#> [825,] 233.9620 235.9620 250.6362 230.3046
#> [826,] 231.9897 233.9897 248.6638 228.3322
#> [827,] 231.6560 233.6560 248.3302 227.9986
#> [828,] 233.7473 235.7473 250.4215 230.0899
#> [829,] 232.2169 234.2169 248.8911 228.5595
#> [830,] 233.3142 235.3142 249.9883 229.6567
#> [831,] 233.1267 235.1267 249.8008 229.4692
#> [832,] 235.2993 237.2993 251.9735 231.6419
#> [833,] 233.6058 235.6058 250.2799 229.9483
#> [834,] 233.7939 235.7939 250.4680 230.1364
#> [835,] 231.7889 233.7889 248.4630 228.1314
#> [836,] 231.1982 233.1982 247.8724 227.5408
#> [837,] 233.6058 235.6058 250.2800 229.9483
#> [838,] 231.9345 233.9345 248.6087 228.2771
#> [839,] 231.5887 233.5887 248.2629 227.9313
#> [840,] 233.3445 235.3445 250.0187 229.6871
#> [841,] 231.8798 233.8798 248.5540 228.2224
#> [842,] 231.5968 233.5968 248.2710 227.9394
#> [843,] 233.6941 235.6941 250.3683 230.0367
#> [844,] 232.2631 234.2631 248.9373 228.6057
#> [845,] 231.8065 233.8065 248.4807 228.1490
#> [846,] 233.5140 235.5140 250.1882 229.8566
#> [847,] 231.4348 233.4348 248.1089 227.7773
#> [848,] 235.3719 237.9071 254.4281 231.1920
#> [849,] 233.9393 236.4745 252.9955 229.7594
#> [850,] 235.4975 238.0328 254.5538 231.3176
#> [851,] 235.8537 238.3889 254.9099 231.6738
#> [852,] 233.7557 236.2909 252.8119 229.5758
#> [853,] 235.3554 237.8906 254.4116 231.1754
#> [854,] 235.4795 238.0147 254.5357 231.2996
#> [855,] 233.9372 236.4724 252.9934 229.7573
#> [856,] 234.0052 236.5404 253.0614 229.8253
#> [857,] 235.7833 238.3185 254.8395 231.6034
#> [858,] 235.1632 237.6985 254.2195 230.9833
#> [859,] 236.9748 239.5100 256.0310 232.7949
#> [860,] 237.1188 239.6540 256.1750 232.9389
#> [861,] 235.3940 237.9292 254.4502 231.2141
#> [862,] 235.4670 238.0022 254.5232 231.2871
#> [863,] 237.3375 239.8727 256.3937 233.1576
#> [864,] 235.6421 238.1773 254.6983 231.4622
#> [865,] 235.5086 238.0438 254.5648 231.3287
#> [866,] 237.5670 240.1022 256.6232 233.3871
#> [867,] 235.8877 238.4229 254.9439 231.7077
#> [868,] 233.4439 235.9791 252.5001 229.2640
#> [869,] 235.3317 237.8669 254.3879 231.1518
#> [870,] 235.2028 237.7380 254.2590 231.0229
#> [871,] 233.7491 236.2843 252.8053 229.5691
#> [872,] 233.6961 236.2313 252.7523 229.5161
#> [873,] 235.7402 238.2754 254.7964 231.5603
#> [874,] 233.6232 236.1584 252.6794 229.4433
#> [875,] 233.1156 235.6508 252.1718 228.9357
#> [876,] 235.4095 237.9447 254.4657 231.2296
#> [877,] 233.8230 236.3582 252.8792 229.6431
#> [878,] 235.3915 237.9267 254.4477 231.2116
#> [879,] 234.9831 237.5183 254.0393 230.8032
#> [880,] 237.5192 240.0544 256.5755 233.3393
#> [881,] 235.5831 238.1183 254.6393 231.4032
#> [882,] 235.6959 238.2311 254.7521 231.5160
#> [883,] 233.7618 236.2970 252.8180 229.5819
#> [884,] 235.3379 237.8731 254.3941 231.1580
#> [885,] 235.5443 238.0795 254.6005 231.3644
#> [886,] 233.9878 236.5231 253.0441 229.8079
#> [887,] 234.1637 236.6989 253.2199 229.9838
#> [888,] 235.8986 238.4338 254.9548 231.7187
#> [889,] 233.7273 236.2625 252.7835 229.5474
#> [890,] 233.4514 235.9866 252.5076 229.2715
#> [891,] 235.4997 238.0349 254.5559 231.3197
#> [892,] 234.1046 236.6398 253.1608 229.9247
#> [893,] 235.4218 237.9570 254.4780 231.2419
#> [894,] 235.3181 237.8533 254.3743 231.1382
#> [895,] 237.4091 239.9443 256.4653 233.2292
#> [896,] 235.8114 238.3466 254.8676 231.6315
#> [897,] 235.7977 238.3329 254.8540 231.6178
#> [898,] 233.5162 236.0514 252.5724 229.3363
#> [899,] 233.0745 235.6097 252.1307 228.8946
#> [900,] 235.3537 237.8889 254.4099 231.1738
#> [901,] 233.8779 236.4131 252.9341 229.6979
#> [902,] 233.2477 235.7829 252.3039 229.0678
#> [903,] 235.3858 237.9210 254.4420 231.2059
#> [904,] 233.3806 235.9158 252.4368 229.2007
#> [905,] 234.9787 237.5139 254.0349 230.7988
#> [906,] 235.0873 237.6225 254.1435 230.9074
#> [907,] 233.6102 236.1454 252.6664 229.4303
#> [908,] 233.6862 236.2214 252.7424 229.5063
#> [909,] 235.4946 238.0299 254.5509 231.3147
#> [910,] 233.4618 235.9970 252.5180 229.2819
#> [911,] 233.1953 235.7305 252.2515 229.0154
#> [912,] 235.1754 237.7106 254.2316 230.9955
#> [913,] 233.7579 236.2931 252.8141 229.5779
#> [914,] 234.9995 237.5347 254.0557 230.8196
#> [915,] 234.8541 237.3893 253.9103 230.6742
#> [916,] 236.9435 239.4787 255.9997 232.7636
#> [917,] 235.3257 237.8609 254.3819 231.1458
#> [918,] 235.4254 237.9606 254.4816 231.2455
#> [919,] 233.2202 235.7554 252.2764 229.0402
#> [920,] 232.7941 235.3293 251.8503 228.6142
#> [921,] 234.9857 237.5209 254.0419 230.8058
#> [922,] 233.4890 236.0242 252.5453 229.3091
#> [923,] 233.0456 235.5808 252.1018 228.8657
#> [924,] 234.9695 237.5047 254.0257 230.7895
#> [925,] 233.3863 235.9215 252.4425 229.2064
#> [926,] 233.1673 235.7025 252.2235 228.9873
#> [927,] 235.1524 237.6876 254.2086 230.9725
#> [928,] 233.8240 236.3592 252.8802 229.6441
#> [929,] 233.2811 235.8163 252.3373 229.1012
#> [930,] 235.1853 237.7205 254.2415 231.0054
#> [931,] 232.9427 235.4779 251.9989 228.7627
#> [932,] 233.7670 236.3022 252.8232 229.5871
#> [933,] 235.4857 238.0209 254.5419 231.3057
#> [934,] 235.5360 238.0712 254.5922 231.3561
#> [935,] 234.0218 236.5570 253.0780 229.8419
#> [936,] 234.0346 236.5698 253.0908 229.8547
#> [937,] 235.9489 238.4841 255.0051 231.7690
#> [938,] 233.9649 236.5001 253.0211 229.7850
#> [939,] 233.5416 236.0768 252.5978 229.3616
#> [940,] 235.7440 238.2792 254.8002 231.5641
#> [941,] 234.2076 236.7428 253.2638 230.0277
#> [942,] 235.3102 237.8454 254.3664 231.1303
#> [943,] 235.0909 237.6261 254.1471 230.9110
#> [944,] 237.2927 239.8279 256.3489 233.1128
#> [945,] 235.6057 238.1409 254.6619 231.4257
#> [946,] 235.7776 238.3128 254.8338 231.5977
#> [947,] 233.7443 236.2795 252.8005 229.5644
#> [948,] 233.0553 235.5905 252.1115 228.8754
#> [949,] 235.5878 238.1230 254.6440 231.4079
#> [950,] 233.9151 236.4503 252.9713 229.7351
#> [951,] 233.4687 236.0039 252.5249 229.2888
#> [952,] 235.2943 237.8295 254.3505 231.1144
#> [953,] 233.8537 236.3889 252.9099 229.6738
#> [954,] 233.4748 236.0100 252.5310 229.2949
#> [955,] 235.6907 238.2259 254.7469 231.5107
#> [956,] 234.2572 236.7924 253.3134 230.0773
#> [957,] 233.7197 236.2549 252.7759 229.5398
#> [958,] 235.4934 238.0286 254.5496 231.3134
#> [959,] 233.3145 235.8497 252.3707 229.1346
#> [960,] 233.5089 236.0441 252.5651 229.3290
#> [961,] 233.1622 235.6974 252.2184 228.9823
#> [962,] 235.2639 237.7992 254.3202 231.0840
#> [963,] 233.8156 236.3508 252.8718 229.6357
#> [964,] 233.4812 236.0164 252.5374 229.3013
#> [965,] 235.0378 237.5730 254.0940 230.8579
#> [966,] 233.0637 235.5989 252.1199 228.8838
#> [967,] 233.3575 235.8927 252.4137 229.1775
#> [968,] 235.3543 238.4972 256.7926 230.6519
#> [969,] 236.9768 240.1196 258.4150 232.2744
#> [970,] 237.0823 240.2252 258.5206 232.3799
#> [971,] 235.6102 238.7530 257.0484 230.9078
#> [972,] 235.6782 238.8210 257.1164 230.9758
#> [973,] 237.4700 240.6128 258.9082 232.7676
#> [974,] 235.4478 238.5907 256.8860 230.7454
#> [975,] 235.1083 238.2511 256.5465 230.4059
#> [976,] 237.1752 240.3181 258.6134 232.4728
#> [977,] 235.7553 238.8982 257.1936 231.0529
#> [978,] 236.9987 240.1416 258.4370 232.2963
#> [979,] 236.8314 239.9743 258.2697 232.1290
#> [980,] 238.9285 242.0713 260.3667 234.2261
#> [981,] 237.3233 240.4661 258.7615 232.6209
#> [982,] 237.4184 240.5612 258.8566 232.7160
#> [983,] 235.1949 238.3377 256.6331 230.4925
#> [984,] 234.6895 237.8324 256.1277 229.9871
#> [985,] 236.9804 240.1233 258.4187 232.2781
#> [986,] 235.4823 238.6252 256.9206 230.7799
#> [987,] 234.9659 238.1088 256.4042 230.2635
#> [988,] 236.9414 240.0842 258.3796 232.2390
#> [989,] 235.3713 238.5141 256.8095 230.6689
#> [990,] 235.0735 238.2164 256.5118 230.3711
#> [991,] 237.1522 240.2951 258.5905 232.4498
#> [992,] 235.8229 238.9658 257.2612 231.1205
#> [993,] 235.2197 238.3625 256.6579 230.5173
#> [994,] 237.1751 240.3180 258.6133 232.4727
#> [995,] 234.8613 238.0042 256.2996 230.1589
#> [996,] 235.0727 238.2156 256.5110 230.3703
#> [997,] 234.7886 237.9314 256.2268 230.0862
#> [998,] 236.7880 239.9309 258.2263 232.0856
#> [999,] 235.4356 238.5784 256.8738 230.7332
#> [1000,] 235.0072 238.1501 256.4454 230.3048
#> [1001,] 236.7593 239.9022 258.1975 232.0569
#> [1002,] 234.6302 237.7731 256.0684 229.9278
#> [1003,] 234.9181 238.0609 256.3563 230.2157
#> [1004,] 235.4779 238.6208 256.9162 230.7755
#> [1005,] 235.0339 238.1767 256.4721 230.3315
#> [1006,] 237.2580 240.4009 258.6963 232.5556
#> [1007,] 235.8050 238.9478 257.2432 231.1026
#> [1008,] 235.3870 238.5299 256.8253 230.6846
#> [1009,] 237.0109 240.1538 258.4491 232.3085
#> [1010,] 234.9346 238.0775 256.3728 230.2322
#> [1011,] 235.2593 238.4021 256.6975 230.5569
#> [1012,] 234.9925 238.1354 256.4308 230.2901
#> [1013,] 237.0536 240.8797 260.8738 231.8287
#> [1014,] 236.6878 240.5139 260.5081 231.4629
#> [1015,] 238.7868 242.6129 262.6071 233.5620
#> [1016,] 237.4319 241.2580 261.2522 232.2070
#> [1017,] 236.9388 240.7649 260.7591 231.7139
#> [1018,] 238.7440 242.5700 262.5642 233.5191
#> [1019,] 236.5400 240.3660 260.3602 231.3151
#> [1020,] 236.8459 240.6719 260.6661 231.6210
#> [1021,] 236.6066 240.4327 260.4269 231.3817
#> [1022,] 236.8854 240.7115 260.7057 231.6605
#> [1023,] 238.5257 243.1139 264.7280 232.7783
#>
#> $Forecasts_Test
#> aic aicc bic hq
#> [1,] -0.049460033 -0.043077180 -0.03039120 -0.063565487
#> [2,] 0.136469369 0.135340519 0.13294216 0.138761326
#> [3,] 0.153840008 0.155503183 0.15851121 0.151838403
#> [4,] 0.189296892 0.188712741 0.18689678 0.190844275
#> [5,] 0.224199763 0.221782167 0.21672418 0.230151358
#> [6,] 0.192332845 0.190695731 0.18761934 0.197031284
#> [7,] 0.047413558 0.046241403 0.04469047 0.049282773
#> [8,] 0.279629621 0.272581831 0.25882139 0.295385403
#> [9,] 0.235356190 0.230841119 0.22170237 0.245151382
#> [10,] 0.237235079 0.232120786 0.22201321 0.248451347
#> [11,] 0.169640949 0.168061323 0.16520503 0.174168259
#> [12,] 0.203517347 0.207532276 0.21464879 0.197784315
#> [13,] 0.075840848 0.077210311 0.07970801 0.072260748
#> [14,] -0.022738674 -0.016536167 -0.00411629 -0.035424920
#> [15,] 0.017581908 0.020623470 0.02696656 0.011150331
#> [16,] 0.416377284 0.408766523 0.39313747 0.434971629
#> [17,] 0.211073312 0.210820090 0.21012204 0.213789239
#> [18,] 0.002374317 0.005856988 0.01263728 -0.006148375
#> [19,] 0.218607099 0.216347576 0.21159456 0.224298404
#> [20,] 0.056960479 0.058389579 0.06105506 0.053002718
#>
#> $Accuracy_Test
#> aic aicc bic hq
#> ME -0.1024625 -0.1020758 -0.1012095 -0.1038443
#> RMSE 1.2168052 1.2152661 1.2121976 1.2205633
#> MAE 1.0599898 1.0589962 1.0569743 1.0625430
#> MPE 115.0768916 114.9437972 114.6658172 115.4097182
#> MAPE 115.0768916 114.9437972 114.6658172 115.4097182
#>
#> attr(,"class")
#> [1] "foreccomb_res"