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Unbiased Estimators and Their Applications

Volume 1: Univariate Case

  • V. G. Voinov
  • M. S. Nikulin
Book

Part of the Mathematics and Its Applications book series (MAIA, volume 263)

Table of contents

  1. Front Matter
    Pages i-xii
  2. V. G. Voinov, M. S. Nikulin
    Pages 1-144
  3. V. G. Voinov, M. S. Nikulin
    Pages 145-246
  4. V. G. Voinov, M. S. Nikulin
    Pages 247-304
  5. Back Matter
    Pages 305-524

About this book

Introduction

Statistical inferential methods are widely used in the study of various physical, biological, social, and other phenomena. Parametric estimation is one such method. Although there are many books which consider problems of statistical point estimation, this volume is the first to be devoted solely to the problem of unbiased estimation. It contains three chapters dealing, respectively, with the theory of point statistical estimation, techniques for constructing unbiased estimators, and applications of unbiased estimation theory. These chapters are followed by a comprehensive appendix which classifies and lists, in the form of tables, all known results relating to unbiased estimators of parameters for univariate distributions. About one thousand minimum variance unbiased estimators are listed. The volume also contains numerous examples and exercises.
This volume will serve as a handbook on point unbiased estimation for researchers whose work involves statistics. It can also be recommended as a supplementary text for graduate students.

Keywords

Estimator Variance distribution minimum statistics

Authors and affiliations

  • V. G. Voinov
    • 1
  • M. S. Nikulin
    • 2
    • 3
  1. 1.High Energy Physics InstituteKazakh Academy of ScienceAlma AtaKazakhstan
  2. 2.Laboratory of Statistical MethodsSteklov Mathematical InstituteSt PetersburgRussia
  3. 3.Mathématiques StochastiquesUniversité Bordeaux 2BordeauxFrance

Bibliographic information

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