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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- regime via a martingale approach
Bernard Bercu, Claudia Contardi, Emanuele Dolera +1
The Ewens-Pitman model defines a distribution on random partitions of , with parameters and ; the case reduces to the classical Ewens…