Applications of Measure Theory to Statistics (Hardcover, 1st ed. 2016)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Release date:	2017
First published:	2016
Authors:	Gogi Pantsulaia
Dimensions:	235 x 155 x 15mm (L x W x T)
Format:	Hardcover
Pages:	134
Edition:	1st ed. 2016
ISBN-13:	978-3-319-45577-8
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations Promotions
LSN:	3-319-45577-X
Barcode:	9783319455778

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