A two-parameter family of measure-valued diffusions with Poisson–Dirichlet stationary distributions

We give a pathwise construction of a two-parameter family of purely-atomic-measure-valued diffusions in which ranked masses of atoms are stationary with the Poisson–Dirichlet(α,θ) distributions, for α∈(0,1) and θ≥0. These processes resolve a conjecture of Feng and Sun (Probab. Theory Related Fields...

সম্পূর্ণ বিবরণ

গ্রন্থ-পঞ্জীর বিবরন
প্রধান লেখক: Forman, N, Rizzolo, D, Shi, Q, Winkel, M
বিন্যাস: Journal article
ভাষা:English
প্রকাশিত: Institute of Mathematical Statistics 2022