Mathematical Theory of Statistics: Statistical Experiments and Asymptotic Decision Theory

Helmut Strasser

Published by De Gruyter 1985

Mathematical Theory of Statistics

Statistical Experiments and Asymptotic Decision Theory

Helmut Strasser

Volume 7 in the series De Gruyter Studies in Mathematics

https://doi.org/10.1515/9783110850826

Overview
Contents

Reviews

"The book is well written but it is not for a beginner. It will be quite useful for workers doing research in the area of asymptotic theory of statistical inference." Mathematical Reviews

"A very interesting feature of the book is the introductory remark at the beginning of each chapter which indicates the historical as well as conceptual development of the material presented in that chapter. [...] This is a very well written, tough (at least to the reviewer) mathematical text and would be extremely useful to the research workers interested in asymptotics in general. [...] The author must be congratulated on a job well done and it is hoped that this text may attract many more able statisticians to probe deeper into these problems." Zentralblatt für Mathematik

Topics

Frontmatter Publicly Available Download PDF	I
Chapter 1: Basic Notions on Probability Measures Requires Authentication Unlicensed Licensed Download PDF	1
Chapter 2: Elementary Theory of Testing Hypotheses Requires Authentication Unlicensed Licensed Download PDF	37
Chapter 3: Binary Experiments Requires Authentication Unlicensed Licensed Download PDF	68
Chapter 4: Sufficiency, Exhaustivity, and Randomizations Requires Authentication Unlicensed Licensed Download PDF	91
Chapter 5: Exponential Experiments Requires Authentication Unlicensed Licensed Download PDF	115
Chapter 6: More Theory of Testing Requires Authentication Unlicensed Licensed Download PDF	130
Chapter 7: Theory of estimation Requires Authentication Unlicensed Licensed Download PDF	153
Chapter 8: General decision theory Requires Authentication Unlicensed Licensed Download PDF	226
Chapter 9: Comparison of experiments Requires Authentication Unlicensed Licensed Download PDF	255
Chapter 10: Asymptotic decision theory Requires Authentication Unlicensed Licensed Download PDF	300
Chapter 11: Gaussian shifts on Hilbert spaces Requires Authentication Unlicensed Licensed Download PDF	339
Chapter 12: Differentiability and asymptotic expansions Requires Authentication Unlicensed Licensed Download PDF	377
Chapter 13: Asymptotic normality Requires Authentication Unlicensed Licensed Download PDF	408
Appendix: Notation and terminology Requires Authentication Unlicensed Licensed Download PDF	461
References Requires Authentication Unlicensed Licensed Download PDF	478
List of symbols Requires Authentication Unlicensed Licensed Download PDF	483
Author index Requires Authentication Unlicensed Licensed Download PDF	485
Subject index Requires Authentication Unlicensed Licensed Download PDF	487

Language: English
Publisher: De Gruyter
Edition: Reprint 2011
Pages
- Front matter: 12
- Main content: 492
Keywords: Stochastisches Experiment; Asymptotischer Test; Entscheidung; Entscheidungstheorie

eBook

Published: April 20, 2011
ISBN: 9783110850826

Hardcover

Published: October 1, 1985
ISBN: 9783110102581