Applications of Measure Theory to Statistics

• Κύριος συγγραφέας: Pantsulaia, Gogi (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Θέματα: Statistics.; Mathematical analysis.; Analysis (Mathematics).; Applied mathematics.; Engineering mathematics.; Topology.; Mathematical physics.; Statistical Theory and Methods.; Applications of Mathematics.; Analysis.; Mathematical Physics.

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...

Πίνακας περιεχομένων:

• 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?.