VOL. 29 · NO. 6 | December 2001
Adaptive Nonparametric Estimation
Marian Hristache, Anatoli Juditsky, Jörg Polzehl, Vladimir Spokoiny
Ann. Statist. 29 (6), 1537-1566, (December 2001) DOI: 10.1214/aos/1015345954
KEYWORDS: Dimensioin-reduction, multi-index model, index space, average derivative estimation, structural adaptation, 62G05, 62H40, 62G20
Jussi Klemelä, Alexandre B. Tsybakov
Ann. Statist. 29 (6), 1567-1600, (December 2001) DOI: 10.1214/aos/1015345955
KEYWORDS: Adaptive curve estimation, Bandwidth selection, exact constants in nonparametric smoothing, Gaussian white noise, Kernel estimation, minimax risk, 62G05, 62G20
A. Goldenshluger, A. Tsybakov
Ann. Statist. 29 (6), 1601-1619, (December 2001) DOI: 10.1214/aos/1015345956
KEYWORDS: Linear regression with infinitely many parameters, Adaptive prediction, exact asyptotics of minimax risk, blockwise Stein’s rule, Oracle inequalities, 62G05, 62G20
Shape-Constrained Nonparametric Inference
Piet Groeneboom, Geurt Jongbloed, Jon A. Wellner
Ann. Statist. 29 (6), 1620-1652, (December 2001) DOI: 10.1214/aos/1015345957
KEYWORDS: convex function, estimation, Gaussian process, Integrated Brownian motion, least squares, 62G05, 60G15, 62E20
Piet Groeneboom, Geurt Jongbloed, Jon A. Wellner
Ann. Statist. 29 (6), 1653-1698, (December 2001) DOI: 10.1214/aos/1015345958
KEYWORDS: convex, dinsity estimation, regression function, maximum likelihood, least squares, Integrated Brownian motion, 62G05, 62G07, 62G08, 62E20
Moulinath Banerjee, Jon A. Wellner
Ann. Statist. 29 (6), 1699-1731, (December 2001) DOI: 10.1214/aos/1015345959
KEYWORDS: asymptotic distribution, Brownian motion, constrained estimation, fixed alternatives, Gaussian process, greatest convex minorant, interval censoring, Kullback-Leibler discrepancy, least squares, local alternatives, likelihood ratio, monotone function, slope processes, 62G05, 60G15, 62E20
Chris Carolan, Richard Dykstra
Ann. Statist. 29 (6), 1732-1750, (December 2001) DOI: 10.1214/aos/1015345960
KEYWORDS: Brownian motion, least concave majorant, stochastic ordering, likelihood ratio ordering, 62E15, 62H10
Graphical Models and Causal Inference
Michael Levitz, David Madigan, Michael D. Perlman
Ann. Statist. 29 (6), 1751-1784, (December 2001) DOI: 10.1214/aos/1015345961
KEYWORDS: graphical Markov model, acyclic directed graph, Bayesian network, $d$-separation, chain graph, AMP model, $p$-separation, completeness, efficient algorithm, 62M45, 60K99, 68R10, 68T30
Richard D. Gill, James M. Robins
Ann. Statist. 29 (6), 1785-1811, (December 2001) DOI: 10.1214/aos/1015345962
KEYWORDS: causality, counterfactuals, longitudinal data, observational studies, 62P10, 62M99
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