14 citations · 15 across the 4 of their papers we have counts for
4 papers
On Lin's condition for products of random variables with joint singular distribution
Alexander Il'inskii, Sofiya Ostrovska
Lin's condition is used to establish the moment determinacy/indeterminacy of absolutely continuous probability distributions. Recently, a number of papers related to Lin's conditio…
On notions of Q-independence and Q-identical distributiveness
A. I. Il'inskii
In a recent article A.M. Kagan and G.J.Székely introduced a notion of Q-independent and Q-identical distributed random variables. We give a complete description of polynomials whic…
On Lin's condition for products of random variables
Alexander Il'inskii, Sofiya Ostrovska
The paper presents an elaboration of some results on Lin's conditions. A new proof of the fact that if densities of independent random variables and satisfy Lin's condi…
A probabilistic approach to -polynomial coefficients, Euler and Stirling numbers
Alexander I. Il'inskii
It is known that Bernoulli scheme of independent trials with two outcomes is connected with the binomial coefficients. The aim of this paper is to indicate stochastic processes whi…