Limiting distributions of generalised Poisson-Dirichlet distributions based on negative binomial processes

DOI10.1007/s10959-019-00928-7zbMath1469.60148OpenAlexW2963072273WikidataQ127447933 ScholiaQ127447933MaRDI QIDQ2209309

Yuguang Ipsen, Soudabeh Shemehsavar, Ross A. Maller

Publication date: 30 October 2020

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-019-00928-7

zbMATH Keywords

Ewens sampling formulasize-biased samplinggeneralised Poisson-Dirichlet lawsnegative binomial point processspecies and gene abundance distributionstrimmed \(\alpha \)-stable subordinator

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Random measures (60G57) Stable stochastic processes (60G52) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (3)

Generalized Poisson--Dirichlet Distributions Based on the Dickman Subordinator ⋮ A note on central limit theorems for trimmed subordinated subordinators ⋮ A generalised Dickman distribution and the number of species in a negative binomial process model

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