Negative Binomial Construction of Random Discrete Distributions on the Infinite Simplex

zbMath1413.60039arXiv1802.02655MaRDI QIDQ4559029

Yuguang Ipsen, Ross A. Maller

Publication date: 30 November 2018

Full work available at URL: https://arxiv.org/abs/1802.02655

zbMATH Keywords

mixing distributionPoisson-Dirichlet distributionPoisson-Kingman distributionstick-breaking and size-biased constructionstrimmed alpha-stable subordinator

Mathematics Subject Classification ID

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

Related Items (5)

Generalized Poisson--Dirichlet Distributions Based on the Dickman Subordinator ⋮ Limiting distributions of generalised Poisson-Dirichlet distributions based on negative binomial processes ⋮ Size biased sampling from the Dickman subordinator ⋮ Ratios of ordered points of point processes with regularly varying intensity measures ⋮ A generalised Dickman distribution and the number of species in a negative binomial process model

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