115 citations · 388 across the 61 of their papers we have counts for
5 papers · 2 filters
Regenerative compositions in the case of slow variation: A renewal theory approach
Alexander Gnedin, Alexander Iksanov
A regenerative composition structure is a sequence of ordered partitions derived from the range of a subordinator by a natural sampling procedure. In this paper, we extend previous…
Moments of random sums and Robbins' problem of optimal stopping
Alexander Gnedin, Alexander Iksanov
Robbins' problem of optimal stopping asks one to minimise the expected {\it rank} of observation chosen by some nonanticipating stopping rule. We settle a conjecture regarding the…
A generalization of the Erdős-Turán law for the order of random permutation
Alexander Gnedin, Alexander Iksanov, Alexander Marynych
We consider random permutations derived by sampling from stick-breaking partitions of the unit interval. The cycle structure of such a permutation can be associated with the path o…
The two-sided infinite extension of the Mallows model for random permutations
Alexander Gnedin, Grigori Olshanski
We introduce a probability distribution Q on the group of permutations of the set Z of integers. Distribution Q is a natural extension of the Mallows distribution on the finite sym…
Lambda-coalescents with dust component
Alexander Gnedin, Alexander Iksanov, Alexander Marynych
We consider the lambda-coalescent processes with positive frequency of singleton clusters. The class in focus covers, for instance, the beta-coalescents with . We show…