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Applications of measure theory to st...

Pantsulaia, Gogi.

Applications of measure theory to statistics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Applications of measure theory to statisticsby Gogi Pantsulaia.
Author:	Pantsulaia, Gogi.
Published:	Cham :Springer International Publishing :2016.
Description:	xv, 134 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Mathematical statistics.
Online resource:	http://dx.doi.org/10.1007/978-3-319-45578-5
ISBN:	9783319455785$q(electronic bk.)

Applications of measure theory to statistics
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$q(electronic bk.)

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

181877
Mathematical statistics.

LC Class. No.: QA276

Dewey Class. No.: 519.5

Applications of measure theory to statistics
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100 1 $a Pantsulaia, Gogi. $3 764484
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 181877
650 0 $a Measure theory. $3 182047
650 1 4 $a Statistics. $3 182057
650 2 4 $a Statistical Theory and Methods. $3 274054
650 2 4 $a Applications of Mathematics. $3 273744
650 2 4 $a Analysis. $3 273775
650 2 4 $a Mathematical Physics. $3 522725
650 2 4 $a Topology. $3 185965
710 2 $a SpringerLink (Online service) $3 273601
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)