Voinov / Nikulin Unbiased Estimators and Their Applications

Volume 1: Univariate Case
1993
ISBN: 978-94-011-1970-2
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 263, 524 Seiten, eBook

Reihe: Mathematics and Its Applications

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.

Zielgruppe

Research

Autoren/Hrsg.

Voinov, V.G.

Nikulin, M.S.

Inhaltsverzeichnis

Foreword to the English Edition. Preface. I: Elemdents of the Theory of Point Statistical Estimation. II: Techniques for Constructing Unbiased Estimators. III: Applications of Unbiased Estimation Theory. Appendix. Tables of Unbiased Estimators. References. Subject Index.