Refinement of the main lemmas of the theory of critical branching processes

DOI10.1134/S1995080224603989MaRDI QIDQ6649071

Sh. K. Formanov

Publication date: 5 December 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

generating functionasymptotic formulasMarkov branching processesGalton-Watson processesbranching random processesconvergence of remainder termmain lemmacontinuation of processcritical branching random processesprobabilities of continuationprobabilities of degeneration

Mathematics Subject Classification ID

Markov processes (60Jxx) Distribution theory (60Exx) Limit theorems in probability theory (60Fxx)

Cites Work

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• On the convergence rate in one limit theorem for branching processes with immigration
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• Limit Theorems for Probabilities of Large Deviations of a Critical Galton–Watson Process Having Power Tails
• The asymptotic behavior of the total number of particles in a critical branching process with immigration
• Another Proof of a Sakhanenko Theorem
• On Modifications of the Lindeberg and Rotar' Conditions in the Central Limit Theorem
• Probability Inequalities for a Critical Galton--Watson Process
• On the proximity of sequences of probability distributions
• On functional limit theorems for branching processes with dependent immigration

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