Nonparametric estimation under shape constraints : estimators, algorithms, and asymptotics / Piet Groeneboom and Geurt Jongbloed.
Material type: TextSeries: Cambridge series in statistical and probabilistic mathematicsPublication details: New York : Cambridge University Press, 2014.Description: xi, 416 p. : illustrations ; 27 cmISBN:- 9780521864015 (hbk.)
- 000SA.12 23 G874
Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
---|---|---|---|---|---|---|---|
Books | ISI Library, Kolkata | 000SA.12 G874 (Browse shelf(Opens below)) | Available | 136304 |
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.
This book introduces basic concepts of shape constrained inference and guides the reader to current developments in the subject.
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