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Applications of Measure Theory to Statistics

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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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Series Title

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Call Number

519.5 PAN a

Publisher

Cham, Switzerland : Springer Cham., 2016

Collation

XV, 134

Language

English

ISBN/ISSN

978-3-319-45578-5

Classification

519.5

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

Ed. 1

Subject(s)

Statistical Theory and Methods
Applications of Mathematics

Specific Detail Info

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Statement of Responsibility

Gogi Pantsulaia

Other Information

Cataloger

umi

Source

https://link.springer.com/content/pdf/10.1007/978-3-319-45578-5.pdf?pdf=button

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