Nonparametric Functional Estimation

✍ Scribed by B. L. S. Prakasa Rao

• Publisher: Academic Press
• Year: 1983
• Tongue: English
• Leaves: 531
• Series: Probability and Mathematical Statistics
• Category: Library

✦ Synopsis

Nonparametric Functional Estimation is a compendium of papers, written by experts, in the area of nonparametric functional estimation. This book attempts to be exhaustive in nature and is written both for specialists in the area as well as for students of statistics taking courses at the postgraduate level.

The main emphasis throughout the book is on the discussion of several methods of estimation and on the study of their large sample properties. Chapters are devoted to topics on estimation of density and related functions, the application of density estimation to classification problems, and the different facets of estimation of distribution functions.

Statisticians and students of statistics and engineering will find the text very useful.

✦ Table of Contents

Content:
Front Matter, Page iii
Copyright, Page iv
Dedication, Page v
Preface, Pages xi-xii
List of Notation, Pages xiii-xiv
Chapter 1 - Estimation of Functionals, Pages 1-26
Chapter 2 - Density Estimation (Univariate Case), Pages 27-173
Chapter 3 - Density Estimation (Multivariate Case), Pages 174-236
Chapter 4 - Estimation of Functionals Related to Density, Pages 237-303
Chapter 5 - Sequential and Recursive Estimation, Pages 304-318
Chapter 6 - Estimation for Stochastic Processes, Pages 319-351
Chapter 7 - Estimation Under Order Restrictions, Pages 352-372
Chapter 8 - Nonparametric Discrimination, Pages 373-391
Chapter 9 - Estimation of a Distribution Function, Pages 392-436
Chapter 10 - Estimation of a Mixing Distribution, Pages 437-449
Chapter 11 - Bayes Estimation, Pages 450-482
References, Pages 483-512
Author Index, Pages 513-518
Subject Index, Pages 519-522
Probability and Mathematical Statistics: A Series of Monographs and Textbooks, Pages ibc1-ibc2