8 citations · 17 across the 5 of their papers we have counts for
5 papers · 1 filter
On asymptotics of exchangeable coalescents with multiple collisions
Alexander Gnedin, Alex Iksanov, Martin Möhle
We study the number of collisions of an exchangeable coalescent with multiple collisions (-coalescent) which starts with particles and is driven by rates determined by…
Small parts in the Bernoulli sieve
Alexander Gnedin, Alex Iksanov, Uwe Roesler
Sampling from a random discrete distribution induced by a `stick-breaking' process is considered. Under a moment condition, it is shown that the asymptotics of the sequence of occu…
A log-type moment result for perpetuities and its application to martingales in supercritical branching random walks
Gerold Alsmeyer, Alexander Iksanov
Infinite sums of i.i.d. random variables discounted by a multiplicative random walk are called perpetuities and have been studied by many authors. The present paper provides a log-…
On distributional properties of perpetuities
Gerold Alsmeyer, Alex Iksanov, Uwe Roesler
We study probability distributions of convergent random series of a special structure, called perpetuities. By giving a new argument, we prove that such distributions are of pure t…
On a random recursion related to absorption times of death Markov chains
Alex Iksanov, Martin Möhle
Let be a sequence of random variables satisfying the distributional recursion and for , where is a random variable with va…