برآورد تابعی غیرپارامتریک (احتمال و آمار ریاضی)

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. 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