The next meeting of the National Seminar on Probability and Statistics will be held on .October 30, 2019 (Wednesday), at 2.00 p.m., in Room 403 of the Institute of Mathematics and Informatics, BAS. A talk on

A few probabilistic problems related to works of A.N. Shiryaev: new results and a little history

will be delivered by Yordan Stoyanov (IMI-BAS).

Everybody is invited.

Abstract. The discussion will be on characterizations of probability distributions in terms such as moments and/or semi-invariants (cumulants). Details will be given on: (1) non-conventional limits of random sequences; (2) new checkable conditions for moment determinacy of distributions. New results will be reported for both absolutely continuous and discrete distributions.  The presentation will include also historical facts about ideas and techniques, some of them originate from works of A.N. Shiryaev, and their further developments.