Erschienen: 01.01.2017 Abbildung von Pantsulaia | Applications of Measure Theory to Statistics | 1. Auflage | 2017 |


Applications of Measure Theory to Statistics


Buch. Hardcover



In englischer Sprache

Springer-Verlag GmbH. ISBN 978-3-319-45577-8

Format (B x L): 16 x 24.1 cm

Gewicht: 401 g


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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