Statistical properties of estimators for continuous time Markov branching processes with varying and random environments

DOI10.1016/0025-5564(82)90054-2zbMath0516.62084OpenAlexW1966396282MaRDI QIDQ1052785

David P. Harrington, Thomas R. Fleming

Publication date: 1982

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(82)90054-2

zbMATH Keywords

consistencyasymptotic normalityrandom environmentscontinuous timevarying environmentsestimators of asymptotic variance

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Markov processes: estimation; hidden Markov models (62M05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (1)

Branching processes. II

Cites Work

• Estimation problems in branching processes with random environments
• Extinction and exponential growth in random environments
• Almost sure convergence of continuous time branching processes
• Estimation for branching processes with varying and random environments
• Estimation of the criticality parameter of a superitical branching process with random environments
• Weak convergence of stochastic integrals related to counting processes
• Estimation for Discrete Time Branching Processes with Application to Epidemics
• A Note on Limit Theorems for Markov Branching Processes
• A continuous time Markov branching model with random environments
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