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Bog, hardback Applications of Measure Theory to Statistics af Gogi Pantsulaia

Applications of Measure Theory to Statistics

- 2017

(Bog, hardback)

biography

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Produktdetaljer:

Sprog:
Engelsk
ISBN-13:
9783319455778
Sideantal:
136
Udgivet:
25-12-2016
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kr. 739,95
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25-12-2016
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Forlagets beskrivelse
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Bibliotekernes beskrivelse
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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