國立高雄大學圖資館 |

Language: English

Back

Mathematical statisticsessays on his...

Pfanzagl, Johann.

Mathematical statisticsessays on history and methodology /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical statisticsby Johann Pfanzagl.
Reminder of title:	essays on history and methodology /
Author:	Pfanzagl, Johann.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg :2017.
Description:	x, 316 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Mathematical statisticsHistory.
Online resource:	http://dx.doi.org/10.1007/978-3-642-31084-3
ISBN:	9783642310843$q(electronic bk.)

Mathematical statisticsessays on history and methodology /
Pfanzagl, Johann.

Mathematical statisticsessays on history and methodology /[electronic resource] :by Johann Pfanzagl. - Berlin, Heidelberg :Springer Berlin Heidelberg :2017. - x, 316 p. :ill., digital ;24 cm. - Springer series in statistics,0172-7397. - Springer series in statistics..

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.

ISBN: 9783642310843$q(electronic bk.)

Standard No.: 10.1007/978-3-642-31084-3doiSubjects--Topical Terms:

219117
Mathematical statistics
--History.

LC Class. No.: QA276.15 / .P436 2017

Dewey Class. No.: 519.509

Mathematical statisticsessays on history and methodology /
LDR:02509nmm a2200325 a 4500 001 523660
003 DE-He213
005 20180426161144.0
006 m d
007 cr nn 008maaau
008 180628s2017 gw s 0 eng d
020 $a 9783642310843$q(electronic bk.)
020 $a 9783642310836$q(paper)
024 7 $a 10.1007/978-3-642-31084-3 $2 doi
035 $a 978-3-642-31084-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA276.15 $b .P436 2017
072 7 $a PBT $2 bicssc
072 7 $a MAT029000 $2 bisacsh
082 0 4 $a 519.509 $2 23
090 $a QA276.15 $b .P523 2017
100 1 $a Pfanzagl, Johann. $3 794998
245 1 0 $a Mathematical statistics $h [electronic resource] : $b essays on history and methodology / $c by Johann Pfanzagl.
260 $a Berlin, Heidelberg : $b Springer Berlin Heidelberg : $b Imprint: Springer, $c 2017.
300 $a x, 316 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer series in statistics, $x 0172-7397
505 0 $a Introduction -- Sufficiency -- Descriptive Statistics -- Optimality of unbiased estimators: nonasymptotic theory -- Asymptotic optimality of estimators -- Bibliography -- Index.
520 $a 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.
650 0 $a Mathematical statistics $x History. $3 219117
650 0 $a Mathematical statistics $x Methodology. $3 210805
650 1 4 $a Statistics. $3 182057
650 2 4 $a Statistical Theory and Methods. $3 274054
650 2 4 $a Probability Theory and Stochastic Processes. $3 274061
650 2 4 $a History of Mathematical Sciences. $3 511733
650 2 4 $a Statistics and Computing/Statistics Programs. $3 275710
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Springer series in statistics. $3 280826
856 4 0 $u http://dx.doi.org/10.1007/978-3-642-31084-3
950 $a Mathematics and Statistics (Springer-11649)