24 citations · 99 across the 51 of their papers we have counts for
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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…
Leader election using random walks
Gerold Alsmeyer, Zakhar Kabluchko, Alexander Marynych
In the classical leader election procedure all players toss coins independently and those who get tails leave the game, while those who get heads move to the next round where the p…
General Edgeworth expansions with applications to profiles of random trees
Zakhar Kabluchko, Alexander Marynych, Henning Sulzbach
We prove an asymptotic Edgeworth expansion for the profiles of certain random trees including binary search trees, random recursive trees and plane-oriented random trees, as the si…
Renewal shot noise processes in the case of slowly varying tails
Zakhar Kabluchko, Alexander Marynych
We investigate weak convergence of renewal shot noise processes in the case of slowly varying tails of the inter-shot times. We show that these processes, after an appropriate non-…
Fractionally integrated inverse stable subordinators
Alexander Iksanov, Zakhar Kabluchko, Alexander Marynych +1
A fractionally integrated inverse stable subordinator (FIISS) is the convolution of a power function and an inverse stable subordinator. We show that the FIISS is a scaling limit i…
Functional limit theorems for the number of occupied boxes in the Bernoulli sieve
Gerold Alsmeyer, Alexander Iksanov, Alexander Marynych
The Bernoulli sieve is the infinite Karlin "balls-in-boxes" scheme with random probabilities of stick-breaking type. Assuming that the number of placed balls equals , we prove s…