Bernard Bercu

activity

20242026

collaborators

Showing 2026 · math.PRShow all

2 papers · 2 filters

math.PR2026

A Central Limit Theorem for the Ewens-Pitman random partition in the large- $θ$ regime via a martingale approach

Bernard Bercu, Claudia Contardi, Emanuele Dolera +1

The Ewens-Pitman model defines a distribution on random partitions of ${1, \dots, n}$ , with parameters $α \in [0, 1)$ and $θ > - α$ ; the case $α = 0$ reduces to the classical Ewens mode…

math.PR2026

A Gaussian process limit for the self-normalized Ewens-Pitman process

Bernard Bercu, Stefano Favaro

For an integer $n \geq 1$ , consider a random partition $Π_{n}$ of ${1, \dots, n}$ into $K_{n}$ partition sets with $K_{r, n}$ partition subsets of size $r = 1, \dots, n$ , and assume $Π_…

A Central Limit Theorem for the Ewens-Pitman random partition in the large-θ regime via a martingale approach

A Gaussian process limit for the self-normalized Ewens-Pitman process

A Central Limit Theorem for the Ewens-Pitman random partition in the large- $θ$ regime via a martingale approach