E. Dolera

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20242026

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math.PR2026

The variance of the Pitman--Yor process: a Cifarelli--Regazzini identity and inversion formula

Emanuele Dolera, Stefano Favaro

The celebrated Cifarelli--Regazzini identity for the Dirichlet process and its analytic inversion lie at the foundation of an elegant distributional theory for linear functionals o…

math.PR2026

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

math.PR2024

Laws of large numbers and central limit theorem for Ewens-Pitman model

Claudia Contardi, Emanuele Dolera, Stefano Favaro

The Ewens-Pitman model is a distribution for random partitions of the set ${1, \dots, n}$ , with $n \in N$ , indexed by parameters $I^\pm \in [0, 1)$ and $I^¸ > - I^\pm$ , such that $Î±=0…

The variance of the Pitman--Yor process: a Cifarelli--Regazzini identity and inversion formula

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

Laws of large numbers and central limit theorem for Ewens-Pitman model

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