Parametric inference in Markov branching processes with time-dependent random immigration rate

DOI10.2307/3213856zbMath0574.62082OpenAlexW2324931463MaRDI QIDQ3692661

Helmut Pruscha

Publication date: 1985

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

Full work available at URL: https://doi.org/10.2307/3213856

zbMATH Keywords

subcritical caselimit distributionsexternal sourcestate-dependencelikelihood ratio test statisticsPearson-type statisticstime-dependent random immigration rate

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Asymptotic properties of parametric tests (62F05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Markov processes: hypothesis testing (62M02)

Related Items (5)

Asymptotic inference for continuous-time Markov chains ⋮ Estimating a parametric trend component in a continuous-time jump-type process ⋮ Branching processes. II ⋮ Modelling of repairable systems with various degrees of repair ⋮ Sequential estimation for a family of counting processes in the nuisance parameter case

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