TY - BOOK
AU - Groeneboom,Piet
AU - Jongbloed,Geurt
TI - Nonparametric estimation under shape constraints: estimators, algorithms, and asymptotics
T2 - Cambridge series in statistical and probabilistic mathematics
SN - 9780521864015 (hbk.)
U1 - 000SA.12 23
PY - 2014///
CY - New York :
PB - Cambridge University Press
KW - Nonparametric statistics
KW - Multivariate analysis
KW - Mathematical statistics
KW - Estimation theory
N1 - Includes bibliographical references (pages 401-408) and indexes; 1. Introduction;
2. Basic estimation problems with monotonicity constraints;
3. Asymptotic theory for the basic monotone problems;
4. Other univariate problems involving monotonicity constraints;
5. Higher dimensional problems;
6. Lower bounds on estimation rates;
7. Algorithms and computation;
8. Shape and smoothness;
9. Testing and confidence intervals;
10. Asymptotic theory of smooth functionals;
11. Pointwise asymptotic distribution theory for univariate problems;
12. Pointwise asymptotic distribution theory for multivariate problems;
13. Asymptotic distribution of global deviations;
References;
Author index;
Subject index
N2 - This book introduces basic concepts of shape constrained inference and guides the reader to current developments in the subject
ER -