1 additive model additive model 18 backfitting algorithm additive model 21 backfitting algorithm 31 estimating equations 34 linear system 37 reproducing-kernel hilbert-spaces 38 estimating equations backfitting algorithm 45 concurvity 47 standard-error bands 50 generalized additive model 57 additive model 60 estimating equations additive model estimating equations additive model backfitting algorithm 75 backfitting algorithm 84 constant term 86 scatterplot smoother 103 additive model conditional expectation operators 111 conditional expectation 115 reproducing-kernel hilbert-spaces 117 hilbert space 140 conditional expectation orthogonal projection 152 estimating equations 164 linear system 168 conditional expectation operators 170 linear system 183 smoother matrix 186 smoothing spline kernel smoother 188 backfitting algorithm conditional expectation linear scatterplot smoother smoother matrix 191 estimating equations 212 smoothing spline 219 orthogonal projection 225 estimating equations 236 cubic smoothing spline penalized least-squares criterion 252 smoother matrix 256 additive model 290 smoother matrix cubic smoothing spline estimating equations 295 penalized least-squares criterion estimating equations 311 reproducing-kernel hilbert-spaces additive model 320 hilbert space 322 representers of evaluation 372 additive model 377 cubic smoothing spline 378 estimating equations 389 estimating equations backfitting algorithm additive model 401 estimating equations 429 backfitting algorithm 431 starting functions 436 starting functions starting functions 439 additive model 440 concurvity collinearity 447 smoother matrix centered smoother 452 additive model 456 orthogonal projection 459 estimating equations 462 orthogonal projection 476 backfitting converges 517 log-linear models 518 estimating equations 524 backfitting converges 529 gram-schmidt method 531 gram-schmidt method 541 gram-schmidt method backfitting algorithm 553 starting functions 556 additive model semi-parametric model 559 backfitting algorithm 577 smoother matrix weight matrix 580 estimating equations unique solution 585 additive model 614 backfitting algorithm starting functions 639 estimating equations unique solution 653 backfitting algorithm cubic smoothing spline 657 smoothing spline 658 concurvity 660 estimating equations 664 backfitting algorithm fitted value starting functions 677 cubic smoothing spline 677 smoother matrix 681 backfitting solutions starting functions backfitting solutions 694 estimating equations 701 symmetric smoother matrices 713 estimating equations 716 estimating equations 723 estimating equations 733 concurvity space 742 concurvity space 771 cubic smoothing spline exact concurvity 783 backfitting algorithm 787 backfitting converges unique solution starting functions 789 backfitting converges starting functions 792 smoothing spline 798 backfitting algorithm cubic smoothing spline 802 surface smoother 804 estimating equations unique solution backfitting algorithm unique solution estimating equations backfitting algorithm 819 estimating equations 831 concurvity estimating equations 833 concurvity space backfitting converges unique solution starting functions 835 concurvity space backfitting converges starting functions 839 weighted additive model penalized least-squares criterion smoothing parameter 853 estimating equations smoothing spline 869 modified backfitting algorithm backfitting algorithm 875 shrinking 876 cubic smoothing spline 895 concurvity 902 starting functions 912 modified backfitting algorithm 917 orthogonal projection 927 modified backfitting algorithm 952 modified backfitting algorithm modified backfitting algorithm 961 modified backfitting algorithm 963 estimating equations 967 estimating equations 975 smoothing spline 976 cubic smoothing spline hat matrix 982 cubic smoothing spline multiple linear regression 988 estimating equations estimating equations 1008 estimating equations 1014 additive model 1024 semi-parametric model 1033 standard-error bands 1033 diagonal elements 1034 backfitting algorithm 1037 smoothing spline 1040 additive model 1043 additive model 1057 posterior covariance additive model 1058 prior covariance 1073 fitted value 1093 exact concurvity 1094 balanced additive 1100 smoothing parameter 1108 additive model additive model 1125 posterior mean 1126 posterior mean 1128 posterior covariance 1138 smoothing parameter 1141 additive model 1144 ace algorithm additive model response transformation 1159 time series 1161 additive model 1166 additive model 1172 semi-parametric model 1200 additive model 1202 optimal rate additive model 1214 additive model 1221 penalized least-squares criterion estimating equations 1223 orthogonal projection 1232 orthogonal projection 1238 estimating equations 1251 semi-parametric model backfitting converges 1257 estimating equations 1259 estimating equations modified backfitting algorithm 1261 additive model 1281 smoother matrix kernel smoother 1290 posterior mean additive model 1291 smoothing spline 1292 basis function smoothing spline additive model 1293 additive model 1296 fitted function 1297 cubic smoothing spline 1303 additive model 1306 semi-parametric model 1310 constant term 1331 balanced additive 1341 additive model smoothing spline 1345 estimating equations