A martingale approach to Gaussian fluctuations and laws of iterated logarithm for Ewens-Pitman model

Bernard Bercu, Stefano Favaro

The Ewens-Pitman model refers to a distribution for random partitions of $[n]=\{1,\dots ,n\}$, which is indexed by a pair of parameters $\alpha \in [0,1)$ and $\theta >-\alpha$, with $\alpha =0$ correspo…