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1.1 ! root 1: \first{5} {Some theory for additive models } {105} ! 2: \second{5.1}{Introduction}{105} ! 3: \second{5.2}{Estimating equations for additive models}{106} ! 4: \third{5.2.1}{$L_2$ function spaces}{107} ! 5: \third{5.2.2}{Penalized least-squares}{110} ! 6: \third{5.2.3}{Reproducing-kernel Hilbert-spaces}{112} ! 7: \second{5.3}{Solutions to the estimating equations}{114} ! 8: \third{5.3.1}{Introduction}{114} ! 9: \third{5.3.2}{Projection smoothers}{115} ! 10: \third{5.3.3}{Semi-parametric models}{117} ! 11: \third{5.3.4}{Backfitting with two smoothers}{118} ! 12: \third{5.3.5}{Existence and uniqueness: $p$-smoothers}{120} ! 13: \third{5.3.6}{Convergence of backfitting: $p$-smoothers}{122} ! 14: \third{5.3.7}{Summary of the main results of the section}{122} ! 15: \second{5.4}{Special topics}{123} ! 16: \third{5.4.1}{Weighted additive models}{123} ! 17: \third{5.4.2}{A modified backfitting algorithm}{124} ! 18: \third{5.4.3}{Explicit solutions to the estimating equations}{126} ! 19: \third{5.4.4}{Standard errors}{126} ! 20: \third{5.4.5}{Degrees of freedom}{128} ! 21: \third{5.4.6}{A Bayesian version of additive models}{129} ! 22: \second{5.5}{Bibliographic notes}{130} ! 23: \second{5.6}{Further results and exercises 5}{131}
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