Lev B. Klebanov

The book focuses on probability metrics suitable for the characterization of random variables in Hilbert or Banach space. It provides details of various stochastic processes, such as testing non-deterministic statistical hypotheses, characterization of probability distribution or constructing multidimensional test for two selections. The book is published in the English language.

Considers the so-called ill-posed problems and stability in statistics. This book explains that ill-posed problems are not a mere curiosity in the field of contemporary probability. It aims to identify statistical problems of this type, find their stable variant, and propose alternative versions of numerous theorems in mathematical statistics.