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[pdf] Applications of Measure Theory to Statistics

Applications of Measure Theory to Statistics书籍详细信息

ISBN：9783319833224
作者：暂无作者
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适合人群：Researchers in statistics, mathematicians specializing in measure theory, data scientists, statisticians, graduate students in mathematics or statistics, and professionals interested in advanced statistical methods and theory.
TAG：statistics / data analysis / Probability / Mathematical Statistics / Applied Mathematics / Measure Theory / Theoretical Statistics
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更新时间：2025-05-17 11:36:16

内容简介：

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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