11. ON THE CONVERGENCE OF THE FRACTIONAL PART OF CONVOLUTIONS OF POISSON DISTRIBUTED

RANDOM VARIABLES WITH UNEQUAL PARAMETERS


Author:  ALEXANDER E. CONDRATENKO et.al.                                                                        DOWNLOAD                                                                                                                                                                                                                                                            


How to Cite:


Condratenko, Alexander E., et al. "On the Convergence of the Fractional Part of Convolutions of Poisson 

Distributed  Random Variables with Unequal Parameters." Global and Stochastic Analysis, vol. 12, no. 5, 2025,

pp. 84–93.



Abstract




The article provides an explicit formula for the distribution of remainders modulo an arbitrary natural number of the

convolutions of unequly distributed Poisson random variables and shows their convergence in law to the uniform

distribution.
 



Keywords


Key words and phrases. convolution, fractional part, uniform distributions, Poisson distribution, entropy.