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＜電子ブック＞
Mathematical Statistics : Essays on History and Methodology / by Johann Pfanzagl
(Perspectives in Statistics. ISSN:2522042X)

版	1st ed. 2017.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2017
大きさ	X, 316 p : online resource
著者標目	*Pfanzagl, Johann author SpringerLink (Online service)
件　名	LCSH:Statistics  LCSH:Probabilities LCSH:Mathematics LCSH:History LCSH:Mathematical statistics—Data processing FREE:Statistical Theory and Methods FREE:Probability Theory FREE:History of Mathematical Sciences FREE:Statistics and Computing
一般注記	Introduction -- Sufficiency -- Descriptive Statistics -- Optimality of unbiased estimators: nonasymptotic theory -- Asymptotic optimality of estimators -- Bibliography -- Index 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 statistics HTTP:URL=https://doi.org/10.1007/978-3-642-31084-3

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