115 citations · 388 across the 61 of their papers we have counts for
5 papers · 1 filter
Small counts in the infinite occupancy scheme
A. D. Barbour, A. V. Gnedin
The paper is concerned with the classical occupancy scheme with infinitely many boxes, in which balls are thrown independently into boxes , with probability of h…
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…
Moment problems and boundaries of number triangles
Alexander Gnedin, Jim Pitman
The boundary problem for graphs like Pascal's but with general multiplicities of edges is related to a `backward' problem of moments of the Hausdorff type.
The Bernoulli sieve revisited
Alexander V. Gnedin, Alexander M. Iksanov, Pavlo Negadajlov +1
We consider an occupancy scheme in which "balls" are identified with points sampled from the standard exponential distribution, while the role of "boxes" is played by the spaci…