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Nonparametric Estimation under Shape Constraints

Piet Groeneboom and Geurt Johgbloed
Publisher: 
Cambridge University Press
Publication Date: 
2015
Number of Pages: 
416
Format: 
Hardcover
Series: 
Cambridge Series in Statistical and Probabilistic Mathematics
Price: 
85.00
ISBN: 
9780521864015
Category: 
Monograph
We do not plan to review this book.

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.