66 citations · 86 across the 13 of their papers we have counts for
5 papers · 2 filters
Exchangeable Gibbs partitions and Stirling triangles
Alexander Gnedin, Jim Pitman
For two collections of nonnegative and suitably normalised weights $\W=(\W_j)$ and $\V=(\V_{n,k})$, a probability distribution on the set of partitions of the set is…
Regenerative partition structures
Alexander Gnedin, Jim Pitman
We consider Kingman's partition structures which are regenerative with respect to a general operation of random deletion of some part. Prototypes of this class are the Ewens partit…
Asymptotic laws for regenerative compositions: gamma subordinators and the like
A. Gnedin, J. Pitman, M. Yor
For a random closed set obtained by exponential transformation of the closed range of a subordinator, a regenerative composit…
Asymptotic laws for compositions derived from transformed subordinators
Alexander Gnedin, Jim Pitman, Marc Yor
A random composition of appears when the points of a random closed set are used to separate into blocks points sampled from the unifor…
Asymptotic laws for nonconservative self-similar fragmentations
Jean Bertoin, Alexander Gnedin
We consider a self-similar fragmentation process in which the generic particle of size is replaced at probability rate , by its offspring made of smaller particles, where…