Applications of Measure Theory to Statistics (PDF)
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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.
- Autor: Gogi Pantsulaia
- 2016, 1st ed. 2016, 134 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3319455788
- ISBN-13: 9783319455785
- Erscheinungsdatum: 22.12.2016
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- Grösse: 1.43 MB
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