115 citations · 388 across the 61 of their papers we have counts for
7 papers · 1 filter
Coherent random permutations with record statistics
Alexander Gnedin
Random permutations with distribution conditionally uniform given the set of record values can be generated in a unified way, coherently for all values of . Our central example…
On the variance of the number of occupied boxes
L. V. Bogachev, A. V. Gnedin, Yu. V. Yakubovich
We consider the occupancy problem where balls are thrown independently at infinitely many boxes with fixed positive frequencies. It is well known that the random number of boxes oc…
Poisson representation of a Ewens fragmentation process
Alexander Gnedin, Jim Pitman
A simple explicit construction is provided of a partition-valued fragmentation process whose distribution on partitions of at time is governed by the Ewe…
Exchangeable partitions derived from Markovian coalescents
Rui Dong, Alexander Gnedin, Jim Pitman
Kingman derived the Ewens sampling formula for random partitions describing the genetic variation in a neutral mutation model defined by a Poisson process of mutations along lines…
The boundary of the Eulerian number triangle
Alexander Gnedin, Grigori Olshanski
The Eulerian triangle is a classical array of combinatorial numbers defined by a linear recursion. The associated boundary problem asks one to find all extreme nonnegative solution…
Recognising the Last Record of a Sequence
Alexander Gnedin
We study the best-choice problem for processes which generalise the process of records from Poisson-paced i.i.d. observations. Under the assumption that the observer knows distribu…