2 citations · 2 across the 6 of their papers we have counts for
6 papers
Critical branching processes in a sparse random environment
Dariusz Buraczewski, Congzao Dong, Alexander Iksanov +1
We introduce a branching process in a sparse random environment as an intermediate model between a Galton--Watson process and a branching process in a random environment. In the cr…
Random Walks in the High-Dimensional Limit II: The Crinkled Subordinator
Zakhar Kabluchko, Alexander Marynych, Kilian Raschel
A crinkled subordinator is an -valued random process which can be thought of as a version of the usual one-dimensional subordinator with each out of countably many jumps be…
Limit theorems for discounted convergent perpetuities II
Alexander Iksanov, Alexander Marynych, Anatolii Nikitin
Let , be independent identically distributed -valued random vectors. Assuming that has zero mean and finite variance and imposin…
Mode and Edgeworth expansion for the Ewens distribution and the Stirling numbers
Zakhar Kabluchko, Alexander Marynych, Henning Sulzbach
We provide asymptotic expansions for the Stirling numbers of the first kind and, more generally, the Ewens (or Karamata-Stirling) distribution. Based on these expansions, we obtain…
Weak convergence of the number of zero increments in the random walk with barrier
Alexander Marynych, Glib Verovkin
We continue the line of research of random walks with barrier initiated by Iksanov and M{ö}hle (2008). Assuming that the tail of the step of the underlying random walk has a power-…
The Bernoulli sieve: an overview
Alexander Gnedin, Alexander Iksanov, Alexander Marynych
The Bernoulli sieve is a version of the classical balls-in-boxes occupancy scheme, in which random frequencies of infinitely many boxes are produced by a multiplicative random walk…