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Applications of measure theory to st...

Pantsulaia, Gogi.

Applications of measure theory to statistics[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	519.5
書名/作者:	Applications of measure theory to statistics/ by Gogi Pantsulaia.
作者:	Pantsulaia, Gogi.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	xv, 134 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Mathematical statistics.
標題:	Measure theory.
標題:	Statistics.
標題:	Statistical Theory and Methods.
標題:	Applications of Mathematics.
標題:	Analysis.
標題:	Mathematical Physics.
標題:	Topology.
ISBN:	9783319455785
ISBN:	9783319455778
摘要、提要註:	This book aims to put strong reasonable mathematical senses in notions of objectivity and subjectivity for consistent estimations in a Polish group by using the concept of Haar null sets in the corresponding group. This new approach - naturally dividing the class of all consistent estimates of an unknown parameter in a Polish group into disjoint classes of subjective and objective estimates - helps the reader to clarify some conjectures arising in the criticism of null hypothesis significance testing. The book also acquaints readers with the theory of infinite-dimensional Monte Carlo integration recently developed for estimation of the value of infinite-dimensional Riemann integrals over infinite-dimensional rectangles. The book is addressed both to graduate students and to researchers active in the fields of analysis, measure theory, and mathematical statistics.
電子資源:	http://dx.doi.org/10.1007/978-3-319-45578-5

Applications of measure theory to statistics[electronic resource] /
Pantsulaia, Gogi.

Applications of measure theory to statistics[electronic resource] /by Gogi Pantsulaia. - Cham :Springer International Publishing :2016. - xv, 134 p. :ill., digital ;24 cm.

This book aims to put strong reasonable mathematical senses in notions of objectivity and subjectivity for consistent estimations in a Polish group by using the concept of Haar null sets in the corresponding group. This new approach - naturally dividing the class of all consistent estimates of an unknown parameter in a Polish group into disjoint classes of subjective and objective estimates - helps the reader to clarify some conjectures arising in the criticism of null hypothesis significance testing. The book also acquaints readers with the theory of infinite-dimensional Monte Carlo integration recently developed for estimation of the value of infinite-dimensional Riemann integrals over infinite-dimensional rectangles. The book is addressed both to graduate students and to researchers active in the fields of analysis, measure theory, and mathematical statistics.

ISBN: 9783319455785

Standard No.: 10.1007/978-3-319-45578-5doiSubjects--Topical Terms:

171875
Mathematical statistics.

LC Class. No.: QA276

Dewey Class. No.: 519.5

Applications of measure theory to statistics[electronic resource] /
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100 1 $a Pantsulaia, Gogi. $3 688381
245 1 0 $a Applications of measure theory to statistics $h [electronic resource] / $c by Gogi Pantsulaia.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xv, 134 p. : $b ill., digital ; $c 24 cm.
520 $a This book aims to put strong reasonable mathematical senses in notions of objectivity and subjectivity for consistent estimations in a Polish group by using the concept of Haar null sets in the corresponding group. This new approach - naturally dividing the class of all consistent estimates of an unknown parameter in a Polish group into disjoint classes of subjective and objective estimates - helps the reader to clarify some conjectures arising in the criticism of null hypothesis significance testing. The book also acquaints readers with the theory of infinite-dimensional Monte Carlo integration recently developed for estimation of the value of infinite-dimensional Riemann integrals over infinite-dimensional rectangles. The book is addressed both to graduate students and to researchers active in the fields of analysis, measure theory, and mathematical statistics.
650 0 $a Mathematical statistics. $3 171875
650 0 $a Measure theory. $3 495639
650 1 4 $a Statistics. $3 145349
650 2 4 $a Statistical Theory and Methods. $3 464135
650 2 4 $a Applications of Mathematics. $3 463820
650 2 4 $a Analysis. $3 464137
650 2 4 $a Mathematical Physics. $3 465111
650 2 4 $a Topology. $3 405711
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-45578-5
950 $a Mathematics and Statistics (Springer-11649)

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