Overview
- Presents a detailed description of the development of statistical theory beginning in ca. 1950
- Discusses the interplay between the growing role of refined mathematical techniques and the corresponding development of methodological concepts
- Offers an intriguing resource for researchers in theoretical statistics
Part of the book series: Springer Series in Statistics (SSS)
Part of the book sub series: Perspectives in Statistics (PSS)
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Table of contents (5 chapters)
Keywords
About this book
This book presents a detailed description of the development of statistical theory. In the mid twentieth century, the development of mathematical statistics underwent an enduring change, due to the advent of more refined mathematical tools. New concepts like sufficiency, superefficiency, adaptivity etc. motivated scholars to reflect upon the interpretation of mathematical concepts in terms of their real-world relevance. Questions concerning the optimality of estimators, for instance, had remained unanswered for decades, because a meaningful concept of optimality (based on the regularity of the estimators, the representation of their limit distribution and assertions about their concentration by means of Anderson’s Theorem) was not yet available. The rapidly developing asymptotic theory provided approximate answers to questions for which non-asymptotic theory had found no satisfying solutions. In four engaging essays, this book presents a detailed description of how the use of mathematical methods stimulated the development of a statistical theory. Primarily focused on methodology, questionable proofs and neglected questions of priority, the book offers an intriguing resource for researchers in theoretical statistics, and can also serve as a textbook for advanced courses in statisticc.
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About the author
Bibliographic Information
Book Title: Mathematical Statistics
Book Subtitle: Essays on History and Methodology
Authors: Johann Pfanzagl
Series Title: Springer Series in Statistics
DOI: https://doi.org/10.1007/978-3-642-31084-3
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2017
Hardcover ISBN: 978-3-642-31083-6Published: 02 November 2017
Softcover ISBN: 978-3-662-56856-9Published: 23 May 2018
eBook ISBN: 978-3-642-31084-3Published: 23 October 2017
Series ISSN: 0172-7397
Series E-ISSN: 2197-568X
Edition Number: 1
Number of Pages: X, 316
Topics: Statistical Theory and Methods, Probability Theory and Stochastic Processes, History of Mathematical Sciences, Statistics and Computing/Statistics Programs