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Titlebook: Mathematical Statistics; Essays on History an Johann Pfanzagl Book 2017 Springer-Verlag Berlin Heidelberg 2017 Convolution Theorem.Descript

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樓主
發(fā)表于 2025-3-21 17:20:04 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Mathematical Statistics
副標題Essays on History an
編輯Johann Pfanzagl
視頻videohttp://file.papertrans.cn/627/626588/626588.mp4
概述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
叢書名稱Springer Series in Statistics
圖書封面Titlebook: Mathematical Statistics; Essays on History an Johann Pfanzagl Book 2017 Springer-Verlag Berlin Heidelberg 2017 Convolution Theorem.Descript
描述.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 r
出版日期Book 2017
關(guān)鍵詞Convolution Theorem; Descriptive Statistics; Statistical Theory; History of Statistics; Sufficient Stati
版次1
doihttps://doi.org/10.1007/978-3-642-31084-3
isbn_softcover978-3-662-56856-9
isbn_ebook978-3-642-31084-3Series ISSN 0172-7397 Series E-ISSN 2197-568X
issn_series 0172-7397
copyrightSpringer-Verlag Berlin Heidelberg 2017
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 22:18:36 | 只看該作者
Springer Series in Statisticshttp://image.papertrans.cn/m/image/626588.jpg
板凳
發(fā)表于 2025-3-22 03:10:46 | 只看該作者
https://doi.org/10.1007/978-3-642-31084-3Convolution Theorem; Descriptive Statistics; Statistical Theory; History of Statistics; Sufficient Stati
地板
發(fā)表于 2025-3-22 04:41:19 | 只看該作者
5#
發(fā)表于 2025-3-22 10:38:54 | 只看該作者
6#
發(fā)表于 2025-3-22 13:35:01 | 只看該作者
Introduction,uld be of operational significance. A number of statistical concepts are discussed from this standpoint. The increasing role of mathematics in the development of meaningful results is emphasized. Reliance on statistical “principles” without operational meaning is criticized, as is the tendency to develop overly general “universal theories”.
7#
發(fā)表于 2025-3-22 19:39:09 | 只看該作者
8#
發(fā)表于 2025-3-22 23:11:10 | 只看該作者
Sufficiency,s of exponential families, minimal sufficiency, trivial sufficiency, and different characterizations of sufficiency: decision theoretic, by power of tests, by concentration of unbiased estimators, and by measures of information.
9#
發(fā)表于 2025-3-23 04:43:22 | 只看該作者
Book 2017tistics 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
10#
發(fā)表于 2025-3-23 06:28:40 | 只看該作者
Descriptive Statistics, in symmetric and convex sets. We discuss convolutions and spread orders, the interpretation of convolution products, and the relations between risks and measures of concentration for distributions of estimators. We also study the concept Pitman closeness between estimators of real-valued functionals.
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