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010   $a9783642310836
010   $a9783642310843 (electronic)
010   $a2197568x (electronic iSBN)
010   $a01727397 (ISSN)
010   $a2197568x (electronic ISSN)
024 7 $a10.1007/978-3-642-31084-3
035   $a(MiAaPQ)EBC5113044
035   $a(DE-He213)978-3-642-31084-3
035   $a(PPN)220121990
035   $a(CKB)4100000000881644
035   $a(EXLCZ)994100000000881644
100   $a20171023d2017      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $2rdacontent
182   $2rdamedia
183   $2rdacarrier
200 10$aMathematical Statistics $eEssays on History and Methodology /$fby Johann Pfanzagl
205   $a1st ed. 2017.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2017.
215   $a1 online resource (316 pages)
225 1 $aPerspectives in Statistics,$x2522-042X
320   $aIncludes bibliographical references at the end of each chapters and indexes.
327   $aIntroduction -- Sufficiency -- Descriptive Statistics -- Optimality of unbiased estimators: nonasymptotic theory -- Asymptotic optimality of estimators -- Bibliography -- Index.
330   $aThis book presents a detailed description of the development of statistical theory. In the mid twentieth century, the development of mathematical statistics underwent an enduring change, due to the advent of more refined mathematical tools. New concepts like sufficiency, superefficiency, adaptivity etc. motivated scholars to reflect upon the interpretation of mathematical concepts in terms of their real-world relevance. Questions concerning the optimality of estimators, for instance, had remained unanswered for decades, because a meaningful concept of optimality (based on the regularity of the estimators, the representation of their limit distribution and assertions about their concentration by means of Anderson?s Theorem) was not yet available. The rapidly developing asymptotic theory provided approximate answers to questions for which non-asymptotic theory had found no satisfying solutions. In four engaging essays, this book presents a detailed description of how the use of mathematical methods stimulated the development of a statistical theory. Primarily focused on methodology, questionable proofs and neglected questions of priority, the book offers an intriguing resource for researchers in theoretical statistics, and can also serve as a textbook for advanced courses in statistics.
410  0$aPerspectives in Statistics,$x2522-042X
606   $aStatistics
606   $aProbabilities
606   $aMathematics
606   $aHistory
606   $aMathematical statistics$xData processing
606   $aStatistical Theory and Methods
606   $aProbability Theory
606   $aHistory of Mathematical Sciences
606   $aStatistics and Computing
615  0$aStatistics.
615  0$aProbabilities.
615  0$aMathematics.
615  0$aHistory.
615  0$aMathematical statistics$xData processing.
615 14$aStatistical Theory and Methods.
615 24$aProbability Theory.
615 24$aHistory of Mathematical Sciences.
615 24$aStatistics and Computing.
676   $a519.509
700   $aPfanzagl$b Johann$4aut$4http://id.loc.gov/vocabulary/relators/aut$049812
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254288903321
996   $aMathematical Statistics$91562520
997   $aUNINA