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Applications of Measure Theory to Statistics on Hardback by Gogi Pantsulaia
Applications of Measure Theory to Statistics on Hardback by Gogi Pantsulaia
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Applications of Measure Theory to Statistics

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Description

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.

Author Biography:

Gogi Rauli Pantsulaia graduated with a degree in Mathematics from the Iv. Javakhishvili Tbilisi State University (Georgia) in 1982, and received his Ph.D. in Mathematics from the Institute of Mathematics of the Ukrainian Academy of Sciences in 1985.  In 2003 he completed his degree of doctor of physics and mathematics at the I. Vekua Institute of Applied Mathematics of the Iv. Javakhishvili Tbilisi State University (Georgia). He is currently a professor at the Department of Mathematics of the Georgian Technical University. He has participated in more than 10 major research projects and is the author of 4 books and more than 75 papers. His current research interests include set theory, measure theory, probability theory and mathematical statistics.
Release date Australia
January 4th, 2017
Audience
  • Postgraduate, Research & Scholarly
Edition
1st ed. 2016
Illustrations
XV, 134 p.
Pages
134
Dimensions
155x235x10
ISBN-13
9783319455778
Product ID
25682824

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Applications of Measure Theory to Statistics by Gogi Pantsulaia
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Applications of Measure Theory to Statistics
by Gogi Pantsulaia ~ Paperback / softback
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