A Central Limit Theorem for the Ewens-Pitman random partition in the large-$\theta$ 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 $\alpha \in [0,1)$ and $\theta >-\alpha$; the case $\alpha =0$ reduces to the classical Ewens mode…