Applications of Measure Theory to Statistics

By Gogi Pantsulaia

Book Overview

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?.

• Format: Hardcover
• Language: English
• ISBN: 331945577X
• ISBN13: 9783319455778
• Release Date: January 2017
• Publisher: Springer
• Length: 134 Pages
• Weight: 0.86 lbs.
• Dimensions: 0.4" x 6.1" x 9.2"