Tails in a fixed-point problem for a branching process with state-independent immigration

zbMath1465.60078arXiv1808.09209MaRDI QIDQ5133294

Masakiyo Miyazawa, Sergeĭ Georgievich Foss

Publication date: 12 November 2020

Full work available at URL: https://arxiv.org/abs/1808.09209

zbMATH Keywords

branching processfixed-point equationlong tailheavy tail asymptotics(intermediate) regularly varying taildominantly varying tailsingle-server feedback queuestate-independent immigration

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Queueing theory (aspects of probability theory) (60K25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Distribution theory (60E99)

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Branching processes with immigration in atypical random environment

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