[Download] "Applications of Measure Theory to Statistics" by Gogi Pantsulaia * Book PDF Kindle ePub Free
eBook details
- Title: Applications of Measure Theory to Statistics
- Author : Gogi Pantsulaia
- Release Date : January 22, 2016
- Genre: Mathematics,Books,Science & Nature,Physics,
- Pages : * pages
- Size : 4164 KB
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.