Probabilistic Inequalities for the Galton--Watson Processes

DOI10.1137/S0040585X97T987338zbMath1376.60077MaRDI QIDQ3462255

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Publication date: 5 January 2016

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

zbMATH Keywords

generating functionGalton-Watson processrecurrent sequencesubstochastic branching process

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (2)

On transient phenomena in branching random processes with discrete time ⋮ On the inequalities for moments of branching random processes

Cites Work

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• Best constants in moment inequalities for linear combinations of independent and exchangeable random variables
• Tail asymptotics for the supercritical Galton-Watson process in the heavy-tailed case
• Critical Galton–Watson Processes: The Maximum of Total Progenies within a Large Window
• Limit Theorems for Probabilities of Large Deviations of a Critical Galton–Watson Process Having Power Tails
• Large Deviations for a Critical Galton–Watson Process
• On a theorem of bingham and doney
• Asymptotic properties of supercritical branching processes I: The Galton-Watson process
• Estimation of Probabilities of Large Deviations for a Critical Galton–Watson Process
• Limit theorems for probabilities of large deviations of a Galton–Watson process
• Probability Inequalities for a Critical Galton--Watson Process
• Probability Inequalities for Sums of Independent Random Variables
• Large deviations of sums of independent random variables

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