On maximum family size in branching processes

DOI10.1239/jap/1032374622zbMath0947.60085OpenAlexW2043782415MaRDI QIDQ4944535

George P. Yanev, Ibrahim Rahimov

Publication date: 6 November 2000

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

Full work available at URL: https://semanticscholar.org/paper/92e5358ab527199d8edb678f82f571f02cf917cc

zbMATH Keywords

random sample sizetransfer theoremsBienaymé-Galton-Watson processmax-stabilitymax-semistability

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (10)

Sub-exponential tail bounds for conditioned stable Bienaymé-Galton-Watson trees ⋮ Limit Theorems for the Size of Subpopulation of Productive Individuals ⋮ Random Sums of Independent Indicators and Generalized Reduced Processes ⋮ Extremes of geometric variables with applications to branching processes. ⋮ On the Maximal Offspring in a Critical Branching Process with Infinite Variance ⋮ APPROXIMATION OF EXCEEDANCE PROCESSES IN LARGE POPULATIONS ⋮ Maxima of random properties of particles in supercritical branching processes ⋮ Multivariate extremes of random scores of particles in branching processes with max-linear heredity ⋮ Approximate Bayesian computation approach on the maximal offspring and parameters in controlled branching processes ⋮ On Largest Offspring in a Critical Branching Process with Finite Variance

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