Applications of Measure Theory to Statistics

Resource Information

The work Applications of Measure Theory to Statistics represents a distinct intellectual or artistic creation found in European University Institute. This resource is a combination of several types including: Work, Language Material, Books.

Label

Applications of Measure Theory to Statistics

Statement of responsibility

by Gogi Pantsulaia

Creator

• Pantsulaia, Gogi

Subject

• Applied mathematics
• Engineering mathematics
• Mathematical analysis
• Mathematical physics
• Statistics
• Topology
• Analysis (Mathematics)

Language

eng

Summary

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.--

Member of

• Springer eBooks, Mathematics and Statistics Collection

Assigning source

Provided by publisher

Image bit depth

0

Literary form

non fiction

Nature of contents

dictionaries

Series statement

Springer eBooks