On large deviations of branching processes in a random environment: geometric distribution of descendants
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Publication:5424049
DOI10.1515/156939206777344593zbMath1126.60089OpenAlexW1989163919MaRDI QIDQ5424049
Publication date: 2 November 2007
Published in: Discrete Mathematics and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/156939206777344593
Large deviations (60F10) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
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Large deviations of a strongly subcritical branching process in a random environment ⋮ Upper large deviations of branching processes in a random environment-offspring distributions with geometrically bounded tails ⋮ Precise large deviation estimates for branching process in random environment ⋮ Asymptotic local probabilities of large deviations for branching process in random environment with geometric distribution of descendants ⋮ Limit theorems for strongly and intermediately supercritical branching processes in random environment with linear fractional offspring distributions ⋮ Small positive values for supercritical branching processes in random environment ⋮ Unnamed Item ⋮ Asymptotics of the distribution and harmonic moments for a supercritical branching process in a random environment ⋮ Lower large deviations for supercritical branching processes in random environment ⋮ Simulations and a conditional limit theorem for intermediately subcritical branching processes in random environment ⋮ Conditional limit theorems for intermediately subcritical branching processes in random environment ⋮ Moments, moderate and large deviations for a branching process in a random environment ⋮ Large deviations of branching processes with immigration in random environment ⋮ Berry-Esseen's bound and Cramér's large deviation expansion for a supercritical branching process in a random environment ⋮ Asymptotic properties of supercritical branching processes in random environments ⋮ Uniform Cramér moderate deviations and Berry-Esseen bounds for a supercritical branching process in a random environment ⋮ Large deviations of branching process in a random environment. II ⋮ Integro-local limit theorems for supercritical branching process in a random environment ⋮ Asymptotical local probabilities of lower deviations for branching process in random environment with geometric distributions of descendants
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