On Estimating the Expected Number of Direct Descendants of a Particle in a Branching Process

DOI10.1137/1112037zbMath0196.18804OpenAlexW2020972396MaRDI QIDQ5592674

Alexander V. Nagaev

Publication date: 1967

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1112037

zbMATH Keywords

probability theory

Mathematics Subject Classification ID

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

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Stochastic modeling and simulation of viral evolution ⋮ Harmonic moments and large deviations for supercritical branching processes with immigration ⋮ Self-normalized Cramér moderate deviations for a supercritical Galton–Watson process ⋮ On qualitative robustness of the Lotka-Nagaev estimator for the offspring mean of a supercritical Galton-Watson process ⋮ Harmonic moments and large deviation rates for supercritical branching processes ⋮ Large deviations for sums indexed by the generations of a Galton-Watson process ⋮ Asymptotic distributions and Berry-Esseen inequalities for Lotka-Nagaev estimator of a Poisson randomly indexed branching process ⋮ A study of the behaviour of certain known estimators on the non- extinction path of a branching process ⋮ Asymptotic behaviors for critical branching processes with immigration ⋮ Harmonic moments and large deviations for a critical Galton-Watson process with immigration ⋮ Non-parametric estimation in the Galton-Watson process ⋮ Estimation for branching processes with varying and random environments ⋮ Analogues of classical limit theorems for the supercritical Galton-Watson process with immigration ⋮ Some convergence theorems on a supercritical Galton-Watson process

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