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Applications of Measure Theory to Statistics

By (author) Gogi Pantsulaia
Format: Hardback
Publisher: Springer International Publishing AG, Cham, Switzerland
Published: 4th Jan 2017
Dimensions: w 156mm h 234mm d 10mm
Weight: 393g
ISBN-10: 331945577X
ISBN-13: 9783319455778
Barcode No: 9783319455778
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Synopsis
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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