Necessary Conditions for Almost Sure Extinction of a Branching Process with Random Environment
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Publication:5568836
DOI10.1214/aoms/1177698045zbMath0176.47602OpenAlexW2085440298WikidataQ110953071 ScholiaQ110953071MaRDI QIDQ5568836
Publication date: 1968
Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoms/1177698045
Related Items (17)
Extinction of branching processes in varying environments ⋮ Establishment success and extinction risk in autocorrelated environments ⋮ Branching processes. II ⋮ Branching processes with random environments ⋮ A test for randomness of the environments in a branching process ⋮ Explosion of continuous-state branching processes with competition in a Lévy environment ⋮ Fighting Enemies and Noise: Competition of Residents and Invaders in a Stochastically Fluctuating Environment ⋮ Branching random walks in space-time random environment: Survival probability, global and local growth rates ⋮ Continuous-state branching processes in Lévy random environments ⋮ Long-run growth rates of discrete multiplicative processes in Markovian environments ⋮ Stability in Distribution of Path-Dependent Hybrid Diffusion ⋮ Ergodic theorems in demography ⋮ Ancestral inference for branching processes in random environments and an application to polymerase chain reaction ⋮ Absolute continuity of the martingale limit in branching processes in random environment ⋮ A weak limit theorem for Galton-Watson processes in varying environments ⋮ A necessary and sufficient condition for noncertain extinction of a branching process in a random environment (BPRE) ⋮ Exponential ergodicity for Markov processes with random switching
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