A. Gnedin

activity

20022026

most citedNotes on the occupancy problem with infinitely many boxes: general asymptotics and power laws

115 citations · 388 across the 61 of their papers we have counts for

collaborators

Showing 2007 · math.PRShow all

3 papers · 2 filters

math.PR2007

Optimal Stopping with Rank-Dependent Loss

Alexander V. Gnedin

For $τ$ a stopping rule adapted to a sequence of $n$ iid observations, we define the loss to be $\ex [ q(R_τ)]$, where $R_{j}$ is the rank of the $j$ th observation, and $q$ is a nond…

math.PR2007★ 1 cited

On the number of collisions in $Λ$ -coalescents

Alexander Gnedin, Yuri Yakubovich

We examine the total number of collisions $C_{n}$ in the $Λ$ -coalescent process which starts with $n$ particles. A linear growth and a stable limit law for $C_{n}$ are shown under the…

math.PR2007★ 115 cited

Notes on the occupancy problem with infinitely many boxes: general asymptotics and power laws

Alexander Gnedin, Ben Hansen, Jim Pitman

This paper collects facts about the number of occupied boxes in the classical balls-in-boxes occupancy scheme with infinitely many positive frequencies: equivalently, about the num…

Optimal Stopping with Rank-Dependent Loss

On the number of collisions in Λ-coalescents

Notes on the occupancy problem with infinitely many boxes: general asymptotics and power laws

On the number of collisions in $Λ$ -coalescents