Multitype branching processes with immigration in random environment, and polling systems

DOI10.3103/S1055134411010020zbMath1335.60161OpenAlexW1993759034MaRDI QIDQ5890531

Vladimir A. Vatutin

Publication date: 21 March 2016

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134411010020

zbMATH Keywords

immigrationrandom environmentbusy periodpolling systemstail distributionsfinal productsubcritical branching processes

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Large deviations (60F10) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (3)

Non-uniform Berry-Esseen-type inequalities for a supercritical branching process with immigration in a random environment ⋮ Moments, large and moderate deviations for branching random walks with immigration in random environments ⋮ Recurrence and transience of contractive autoregressive processes and related Markov chains

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