Applications of Measure Theory to Statistics

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 un...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Pantsulaia, Gogi (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Subjects:
Statistics .
Mathematics.
Mathematical analysis.
Mathematical physics.
Topology.
Statistical Theory and Methods.
Applications of Mathematics.
Analysis.
Mathematical Physics.
Online Access:Texto Completo
Table of Contents:
  • 1 Calculation of Improper Integrals by Using Uniformly Distributed Sequences
  • 2 Infinite-Dimensional Monte-Carlo Integration
  • 3 On structure of all real-valued sequences uniformly distributed in [-1/2;1/2] from the point of view of shyness
  • 4 On Moore-Yamasaki-Kharazishvili type measures and the infinite powers of Borel diffused probability measures on R
  • 5 On objective and strong objective consistent estimates of unknown parameters for statistical structures in a Polish group admitting an invariant metric
  • 6 Why Null Hypothesis is rejected for "almost every" infinite sample by the Hypothesis Testing of a maximal reliability?.

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