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Topics in Nonparametric Estimation

Edited by: R. Z. Khasminskiĭ
Available Formats:
Hardcover ISBN: 978-0-8218-4111-2
List Price: $126.00 MAA Member Price:$113.40
AMS Member Price: $100.80 Electronic ISBN: 978-1-4704-4609-3 Product Code: ADVSOV/12.E List Price:$126.00
MAA Member Price: $113.40 AMS Member Price:$100.80
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List Price: $189.00 MAA Member Price:$170.10
AMS Member Price: $151.20 Click above image for expanded view Topics in Nonparametric Estimation Edited by: R. Z. Khasminskiĭ Available Formats:  Hardcover ISBN: 978-0-8218-4111-2 Product Code: ADVSOV/12  List Price:$126.00 MAA Member Price: $113.40 AMS Member Price:$100.80
 Electronic ISBN: 978-1-4704-4609-3 Product Code: ADVSOV/12.E
 List Price: $126.00 MAA Member Price:$113.40 AMS Member Price: $100.80 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$189.00 MAA Member Price: $170.10 AMS Member Price:$151.20
• Book Details

Volume: 121992; 150 pp
MSC: Primary 60; 62;

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.

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

• Articles
• A. Samarov - Lower bound for the integral risk of density function estimates
• A. Nemirovskii - On nonparametric estimation of functions satisfying differential inequalities
• A. Korostelev and A. Tsybakov - Asymptotically minimax image reconstruction problems
• O. Lepskii - On problems of adaptive estimation in white Gaussian noise
• B. Polyak and A. Tsybakov - On stochastic approximation with arbitrary noise (the KW-case)
• E. Belitser and A. Korostelev - Pseudovalues and minimax filtering algorithms for the nonparametric median
• A. Veretennikov - On large deviations for ergodic process empirical measures
• V. Spokoinyi - On asymptotically optimal sequential experimental design
• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 121992; 150 pp
MSC: Primary 60; 62;

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.

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

• Articles
• A. Samarov - Lower bound for the integral risk of density function estimates
• A. Nemirovskii - On nonparametric estimation of functions satisfying differential inequalities
• A. Korostelev and A. Tsybakov - Asymptotically minimax image reconstruction problems
• O. Lepskii - On problems of adaptive estimation in white Gaussian noise
• B. Polyak and A. Tsybakov - On stochastic approximation with arbitrary noise (the KW-case)
• E. Belitser and A. Korostelev - Pseudovalues and minimax filtering algorithms for the nonparametric median
• A. Veretennikov - On large deviations for ergodic process empirical measures
• V. Spokoinyi - On asymptotically optimal sequential experimental design
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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