Gaps and interleaving of point processes in sampling from a residual allocation model

DOI10.3150/19-BEJ1104zbMath1428.62190arXiv1804.10248OpenAlexW2799166829MaRDI QIDQ2325387

Jim W. Pitman, Yuri V. Yakubovich

Publication date: 25 September 2019

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.10248

zbMATH Keywords

order statisticslimit theoremGEM distributionresidual allocation modelYule processstationary renewal processinterleaving of simple point processesstars and bars duality

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Renewal theory (60K05)

Related Items

Renewal theory for iterated perturbed random walks on a general branching process tree: intermediate generations ⋮ Regenerative random permutations of integers ⋮ Renewal sequences and record chains related to multiple zeta sums

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