Large deviations of branching processes with immigration in random environment

DOI10.1515/DMA-2017-0037zbMath1397.60113OpenAlexW2773737745MaRDI QIDQ1744333

Dmitriy V. Dmitruschenkov, Alexander V. Shklyaev

Publication date: 23 April 2018

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dma-2017-0037

zbMATH Keywords

branching processesrandom walkslarge deviationsrandom environmentsCramér conditionprocesses with immigration

Mathematics Subject Classification ID

Large deviations (60F10) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (5)

Branching processes with immigration in atypical random environment ⋮ Large deviations of a strongly subcritical branching process in a random environment ⋮ Non-uniform Berry-Esseen-type inequalities for a supercritical branching process with immigration in a random environment ⋮ Large deviations of branching process in a random environment. II ⋮ Moments and asymptotic properties for supercritical branching processes with immigration in random environments

Cites Work

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• Large deviations in the queuing theory
• On Large Deviations of Strictly Subcritical Branching Processes in a Random Environment with Geometric Distribution of Progeny
• On the extinction times of varying and random environment branching processes
• On large deviations of branching processes in a random environment with arbitrary initial number of particles: critical and supercritical cases
• On large deviations of branching processes in a random environment: geometric distribution of descendants
• On the Probabilities of Large Deviations for Sums of Independent Random Variables
• Probability-2

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