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Applications of measure theory to st...

Pantsulaia, Gogi.

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Applications of measure theory to statistics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/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. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-45578-5
ISBN:	9783319455785

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

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

516858
Mathematical statistics.

LC Class. No.: QA276

Dewey Class. No.: 519.5

Applications of measure theory to statistics
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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.
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