A. Marynych

activity

20092026

most citedLimit theorems for the number of occupied boxes in the Bernoulli sieve

24 citations · 99 across the 51 of their papers we have counts for

collaborators

Showing 2013Show all

2 papers · 1 filter

math.PR2013

Asymptotics of random processes with immigration II: convergence to stationarity

Alexander Iksanov, Alexander Marynych, Matthias Meiners

Let $X_{1}, X_{2}, \dots$ be random elements of the Skorokhod space $D (R)$ and $ξ_{1}, ξ_{2}, \dots$ positive random variables such that the pairs $(X_{1}, ξ_{1}), (X_{2}, ξ_{2}), \dots$ a…

math.PR2013

Weak convergence of finite-dimensional distributions of the number of empty boxes in the Bernoulli sieve

Alexander Iksanov, Alexander Marynych, Vladimir Vatutin

The Bernoulli sieve is a random allocation scheme obtained by placing independent points with the uniform [0,1] law into the intervals made up by successive positions of a multipli…