Large deviation rates for Markov branching processes

DOI10.1142/S0219530519500209zbMath1434.60244MaRDI QIDQ5107667

Lan Cheng, Liuyan Li, Anyue Chen, Anthony G. Pakes, Jun Ping Li

Publication date: 28 April 2020

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

large deviationsMarkov branching processharmonic momentslaw of large number convergence rates

Mathematics Subject Classification ID

Large deviations (60F10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items

The local limit theorem for supercritical branching processes with immigration ⋮ Asymptotic behavior for supercritical branching processes ⋮ Long time behaviour for Markovian branching-immigration systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-parametric estimation in the Galton-Watson process
• Large deviation rates for branching processes. I: Single type case
• Harmonic moments and large deviation rates for supercritical branching processes
• Local limit theory and large deviations for supercritical branching processes.
• On Interchanging Limits and Integrals
• On Deviations of the Sample Mean
• Asymptotic Analysis of Random Walks
• Near-constancy phenomena in branching processes
• Convergence Rates in the Law of Large Numbers
• A Note on Limit Theorems for Markov Branching Processes
• Ergodic Properties of Continuous-Time Markov Processes and Their Discrete Skeletons
• Embeddability of Discrete Time Simple Branching Processes into Continuous Time Branching Processes
• The Probability in the Tail of a Distribution
• [https://portal.mardi4nfdi.de/wiki/Publication:5618130 La densit� de la loi-limite d'un processus en cascade expansif]
• Branching Processes
• Large deviations of sums of independent random variables