Integer-valued branching processes with immigration

DOI10.2307/1427320zbMath0525.60086OpenAlexW1971127301MaRDI QIDQ3038344

Wim Vervaat, Stephen James Wolfe, F. W. Steutel

Publication date: 1983

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1427320

zbMATH Keywords

self-decomposableimmigration processcritical Markov branching process

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Stochastic analysis (60H99)

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Stability equations for processes with stationary independent increments using branching processes and Poisson mixtures ⋮ Some asymptotic properties in INAR(1) processes with Poisson marginals ⋮ First-Order Integer-Valued Autoregressive (INAR (1)) Process: Distributional and Regression Properties ⋮ Negative binomial time series models based on expectation thinning operators ⋮ Estimating the use of public lands: integrated modeling of open populations with convolution likelihood ecological abundance regression ⋮ Remembering Wim Vervaat ⋮ Linear characterizations of the Poisson distribution ⋮ Self-decomposable discrete distributions and branching processes

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