Volkswagen Foundation

Characterization problems of mathematical statistics on algebraic structures 

Project Team Ph.D.  M. Myronyuk
   
Period 2022 - 2023
   
Summary:  

Characterization problems in mathematical statistics are statements in which the description of possible distributions of random variables follows from properties of some functions in these variables. A large number of studies have been devoted to theorems characterizing the Gaussian distribution on the real line. We consider the problem of characterization of probability distributions on algebraic structures which are not the real line

   
Selected publications

https://doi.org/10.1007/s10959-024-01339-z

https://doi.org/10.48550/arXiv.2211.13021

https://doi.org/10.48550/arXiv.2308.05694