Local limit theory and large deviations for supercritical branching processes.

DOI10.1214/105051604000000242zbMath1084.60542arXivmath/0407059OpenAlexW3105312468MaRDI QIDQ1879904

Anand N. Vidyashankar, Peter Ney

Publication date: 15 September 2004

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407059

zbMATH Keywords

local limit theorems

Mathematics Subject Classification ID

Large deviations (60F10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (16)

Large deviation for supercritical branching processes with immigration ⋮ Likely path to extinction in simple branching models with large initial population ⋮ Large deviations for a Poisson random indexed branching process ⋮ Large deviation rates for Markov branching processes ⋮ Self-normalized Cramér moderate deviations for a supercritical Galton–Watson process ⋮ Harmonic moments and large deviation rates for supercritical branching processes ⋮ Lower large deviations for supercritical branching processes in random environment ⋮ Large deviations for sums indexed by the generations of a Galton-Watson process ⋮ Upper Deviations for Split Times of Branching Processes ⋮ Harmonic moments and large deviations for a critical Galton-Watson process with immigration ⋮ Exponential inequalities for self-normalized martingales with applications ⋮ Large deviations for i.i.d. replications of the total progeny of a Galton-Watson process ⋮ Self-normalized large deviation for supercritical branching processes ⋮ Harmonic continuous-time branching moments ⋮ How did we get here? ⋮ Cramér moderate deviations for a supercritical Galton-Watson process

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