Asymptotics of the distribution and harmonic moments for a supercritical branching process in a random environment

DOI10.1214/22-aihp1318arXiv1606.04228OpenAlexW4286859286MaRDI QIDQ6147695

I. G. Grama, Quan-sheng Liu, Eric Miqueu

Publication date: 16 January 2024

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.04228

zbMATH Keywords

asymptotic distributionbranching processesrandom environmentdecay rateharmonic moments

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Applications of branching processes (60J85) Population dynamics (general) (92D25) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

• Unnamed Item
• 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
• Upper large deviations for branching processes in random environment with heavy tails
• Subcritical branching processes in a random environment without the Cramer condition
• Berry-Esseen's bound and Cramér's large deviation expansion for a supercritical branching process in a random environment
• Moments, moderate and large deviations for a branching process in a random environment
• Limit theorems for a supercritical branching process with immigration in a random environment
• Limit theorems for weakly subcritical branching processes in random environment
• A necessary and sufficient condition for a branching process in a random environment to grow like the product of its means
• Asymptotic properties of supercritical age-dependent branching processes and homogeneous branching random walks
• Lower large deviations for supercritical branching processes in random environment
• Lower deviations of branching processes in random environment with geometrical offspring distributions
• Conditional limit theorems for intermediately subcritical branching processes in random environment
• Upper large deviations of branching processes in a random environment-offspring distributions with geometrically bounded tails
• Large deviations for Branching Processes in Random Environment
• On large deviations of branching processes in a random environment: geometric distribution of descendants
• On Branching Processes in Random Environments
• On Branching Processes with Random Environments: I: Extinction Probabilities
• Branching Processes with Random Environments, II: Limit Theorems
• Harmonic moments and large deviations for a supercritical branching process in a random environment

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