Notes on “Estimation theory for growth and immigration rates in a multiplicative process”

DOI10.2307/3212702zbMath0294.60063OpenAlexW4244597184MaRDI QIDQ4046865

Eugene Seneta, Christopher C. Heyde

Publication date: 1974

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

Full work available at URL: https://doi.org/10.2307/3212702

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Point estimation (62F10) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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A modified bootstrap for branching processes with immigration ⋮ Branching processes. I ⋮ On asymptotic normality of sequential estimators for branching processes with immigration ⋮ Conditional Least Squares Estimators for the Offspring Mean in a Subcritical Branching Process with Immigration ⋮ Some asymptotic results for the branching process with immigration ⋮ Estimation of the offspring mean in a controlled branching process with a random control function ⋮ Asymptotic distributions for weighted estimators of the offspring mean in a branching process ⋮ Smoluchowski processes and nonparametric estimation of functionals of particle displacement distributions from count data ⋮ On the uniform strong consistency of an estimator of the offspring mean in a branching process with immigration ⋮ Asymptotic distribution of the CLSE in a critical process with immigration ⋮ On sequential estimation for branching processes with immigration. ⋮ Estimation of the offspring mean in a supercritical branching process with non-stationary immigration ⋮ Fixed precision estimator of the offspring mean in branching processes ⋮ A Note on Estimation of Parameters for Branching Processes with Immigration ⋮ Parameter estimation in branching processes with almost sure extinction ⋮ Asymptotically Normal Estimators for the Offspring Mean in the Branching Process with Immigration ⋮ Asymptotic properties of estimators in a stable Cox-Ingersoll-Ross model

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