Applications of Measure Theory to Statistics

1. Calculation of Improper Integrals by Using Uniformly Distributed Sequences
Gogi Pantsulaia

2. Infinite-Dimensional Monte Carlo Integration
Gogi Pantsulaia

3. Structure of All Real-Valued Sequences Uniformly Distributed in




[-frac{1}{2}, frac{1}{2}]

[
-

1
2

,

1
2

]



from the Point of View of Shyness
Gogi Pantsulaia

4. On Moore–Yamasaki–Kharazishvili Type Measures and the Infinite Powers of Borel Diffused Probability Measures on R
Gogi Pantsulaia

5. Objective and Strong Objective Consistent Estimates of Unknown Parameters for Statistical Structures in a Polish Group Admitting an Invariant Metric
Gogi Pantsulaia

6. Why Null Hypothesis Is Rejected for Almost Every Infinite Sample by the Hypothesis Testing of a Maximal Reliability
Gogi Pantsulaia

Keywords: Statistics, Statistical Theory and Methods, Applications of Mathematics, Analysis, Mathematical Physics, Topology