x

Our Privacy Policy has changed. By using this site, you agree to the Privacy Policy.

Introduction to Nonparametric Estimation

ISBN-10: 0387790519
ISBN-13: 9780387790510
Edition: 2009
List price: $129.00 Buy it from $92.22
This item qualifies for FREE shipping

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy

Description: This book will be useful for researchers and grad students interested in theoretical aspects of smoothing techniques. Many important and useful results on optimal and adaptive estimation are provided. As one of the leading mathematical statisticians  More...

New Starting from $117.17
what's this?
Rush Rewards U
Members Receive:
coins
coins
You have reached 400 XP and carrot coins. That is the daily max!

Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
Calculus 1 Online content $4.95 $1.99
Add to cart
Study Briefs
SQL Online content $4.95 $1.99
Add to cart
Study Briefs
MS Excel® 2010 Online content $4.95 $1.99
Add to cart
Study Briefs
MS Word® 2010 Online content $4.95 $1.99

Customers also bought

Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading

Book details

List price: $129.00
Copyright year: 2009
Publisher: Springer
Publication date: 11/26/2008
Binding: Hardcover
Pages: 214
Size: 6.25" wide x 9.75" long x 0.50" tall
Weight: 0.990
Language: English

This book will be useful for researchers and grad students interested in theoretical aspects of smoothing techniques. Many important and useful results on optimal and adaptive estimation are provided. As one of the leading mathematical statisticians working in nonparametrics, the author is an authority on the subject.

Nonparametric estimators
Examples of nonparametric models and problems
Kernel density estimators
Mean squared error of kernel estimators
Construction of a kernel of order l
Integrated squared risk of kernel estimators
Lack of asymptotic optimality for fixed density
Fourier analysis of kernel density estimators
Unbiased risk estimation. Cross-validation density estimators
Nonparametric regression. The Nadaraya-Watson estimator
Local polynomial estimators
Pointwise and integrated risk of local polynomial estimators
Convergence in the sup-norm
Projection estimators
Sobolev classes and ellipsoids
Integrated squared risk of projection estimators
Generalizations
Oracles
Unbiased risk estimation for regression
Three Gaussian models
Notes
Exercises
Lower bounds on the minimax risk
Introduction
A general reduction scheme
Lower bounds based on two hypotheses
Distances between probability measures
Inequalities for distances
Bounds based on distances
Lower bounds on the risk of regression estimators at a point
Lower bounds based on many hypotheses
Lower bounds in L[subscript 2]
Lower bounds in the sup-norm
Other tools for minimax lower bounds
Fano's lemma
Assouad's lemma
The van Trees inequality
The method of two fuzzy hypotheses
Lower bounds for estimators of a quadratic functional
Notes
Exercises
Asymptotic efficiency and adaptation
Pinsker's theorem
Linear minimax lemma
Proof of Pinsker's theorem
Upper bound on the risk
Lower bound on the minimax risk
Stein's phenomenon
Stein's shrinkage and the James-Stein estimator
Other shrinkage estimators
Superefficiency
Unbiased estimation of the risk
Oracle inequalities
Minimax adaptivity
Inadmissibility of the Pinsker estimator
Notes
Exercises
Appendix
Bibliography
Index

×
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.

×