24 citations · 195 across the 74 of their papers we have counts for
6 papers · 2 filters
Power and exponential moments of the number of visits and related quantities for perturbed random walks
Gerold Alsmeyer, Alexander Iksanov, Matthias Meiners
Let be a sequence of i.i.d.\ copies of a random vector taking values in , and let . The sequence $(S_{n-1} + η_n)_{n \ge…
On the number of empty boxes in the Bernoulli sieve II
Alexander Iksanov
The Bernoulli sieve is the infinite "balls-in-boxes" occupancy scheme with random frequencies , where $(W_k)_{k\in\mn}$ are independent copies of a rando…
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…
On the number of empty boxes in the Bernoulli sieve
Alexander Iksanov
The Bernoulli sieve is the infinite "balls-in-boxes" occupancy scheme with random frequencies , where $(W_k)_{k\in\mn}$ are independent copies of a random…
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…
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…