**Advances in Soviet Mathematics**

1992;
150 pp;
Hardcover

MSC: Primary 60; 62;
Secondary 68

**Print ISBN: 978-0-8218-4111-2
Product Code: ADVSOV/12**

List Price: $126.00

AMS Member Price: $100.80

MAA Member Price: $113.40

**Electronic ISBN: 978-1-4704-4609-3
Product Code: ADVSOV/12.E**

List Price: $126.00

AMS Member Price: $100.80

MAA Member Price: $113.40

# Topics in Nonparametric Estimation

Share this page *Edited by *
*R. Z. Khasminskiĭ*

This book contains papers presented at the Seminar on Mathematical Statistics held at the Institute for Problems of Information Transmission of the Academy of Sciences in the former Soviet Union. Founded in the mid-1960s, this seminar is still active today and attracts most of the researchers in Moscow who are interested in mathematical statistics. The topics covered include density, regression, and image estimation, adaptive estimation, stochastic approximation, median estimation, sequential experimental design, and large deviations for empirical measures. This collection is distinguished by the high scientific level of the papers and their modern approach. This book will be of interest to scientists and engineers who use probability and statistics, to mathematicians and applied statisticians who work in approximation theory, and to computer scientists who work in image analysis.

#### Readership

Scientists and mathematicians in probability, statistics, and approximation theory. Computer scientists interested in image analysis.

# Table of Contents

## Topics in Nonparametric Estimation

- Cover Cover11
- Title page iii4
- Contents v6
- Forewrod vii8
- Lower bound for the integral risk of density function estimates 112
- On nonparametric estimation of functions satisfying differential inequalities 718
- Asymptotically minimax image reconstruction problems 4556
- On problems of adaptive estimation in white Gaussian noise 8798
- On stochastic approximation with arbitrary noise (the KW-case) 107118
- Pseudovalues and minimax filtering algorithms for the nonparametric median 115126
- On large deviations for ergodic process empirical measures 125136
- On asymptotically optimal sequential experimental design 135146
- Back Cover Back Cover1162