Non-parametric estimation in the Galton-Watson process

DOI10.1016/0025-5564(75)90091-7zbMath0316.62033OpenAlexW2074986540MaRDI QIDQ1221620

Anthony G. Pakes

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0025-5564(75)90091-7

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Markov processes: estimation; hidden Markov models (62M05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (15)

Immortal branching Markov processes: Averaging properties and PCR applications. ⋮ Local limit theory and large deviations for supercritical branching processes. ⋮ Branching processes. I ⋮ Estimation of extinction probability of a multitype markov branching process ⋮ Some asymptotic results for the branching process with immigration ⋮ Harmonic moments and large deviations for supercritical branching processes with immigration ⋮ Large deviation rates for Markov branching processes ⋮ Limit theorems for critical Galton-Watson processes with immigration stopped at zero ⋮ Harmonic moments and large deviation rates for supercritical branching processes ⋮ Large deviations for sums indexed by the generations of a Galton-Watson process ⋮ A study of the behaviour of certain known estimators on the non- extinction path of a branching process ⋮ Asymptotic behaviors for critical branching processes with immigration ⋮ Harmonic moments and large deviations for a critical Galton-Watson process with immigration ⋮ Parameter estimation in branching processes with almost sure extinction ⋮ Multitype branching processes with disasters. I: The number of particles in the system

Cites Work

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• Analogues of classical limit theorems for the supercritical Galton-Watson process with immigration
• Estimation of the mean and the initial probabilities of a branching process
• Isotonic Estimation of the Probability of Extinction of a Branching Process
• On Estimating the Expected Number of Direct Descendants of a Particle in a Branching Process
• An invariance principle and some convergence rate results for branching processes
• The Local Limit Theorem and Some Related Aspects of Super-Critical Branching Processes
• Branching processes with immigration
• The estimation of the probability of extinction and other parameters associated with branching processes
• Further results on the critical Galton-Watson process with immigration
• Estimation theory for growth and immigration rates in a multiplicative process
• On the critical Galton-Watson process with immigration
• Branching Processes

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