Negative binomial distributions for point processes

DOI10.1016/0304-4149(84)90018-8zbMath0522.60048OpenAlexW2022902671MaRDI QIDQ1056141

Gerard Gregoire

Publication date: 1984

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(84)90018-8

zbMATH Keywords

Palm distributionmixed Poisson processPolya processnegative-binomial processYule birth-process

Mathematics Subject Classification ID

Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (8)

The average of a negative-binomial Lévy process and a class of Lerch distributions ⋮ 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 ⋮ The combinatorial structure of beta negative binomial processes ⋮ Estimating negative binomial parameters from occurrence data with detection times ⋮ Queues with path-dependent arrival processes ⋮ A generalised Dickman distribution and the number of species in a negative binomial process model

Cites Work

• Doubly stochastic Poisson processes
• The general theory of stochastic population processes
• Negative multinomial distribution
• A class of non-identifiable stochastic models
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