Applications of Measure Theory to Statistics
Overview
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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Details
- ISBN-13: 9783319455778
- ISBN-10: 331945577X
- Publisher: Springer
- Publish Date: January 2017
- Dimensions: 9.21 x 6.14 x 0.38 inches
- Shipping Weight: 0.86 pounds
- Page Count: 134
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