Bayesian non-parametric estimation for age-dependent branching processes

DOI10.1016/0304-4149(79)90052-8zbMath0436.62071OpenAlexW1969828576MaRDI QIDQ1140946

S. H. Smith

Publication date: 1979

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(79)90052-8

zbMATH Keywords

asymptotic propertiesDirichlet processesBayes estimatorsweighted squared error lossBellman-Harris age-dependent branching processlife-length distributionoffspring number probability distribution

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Bayesian inference (62F15) Stationary stochastic processes (60G10) Markov processes: estimation; hidden Markov models (62M05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (10)

Nonparametric estimation of the division rate of an age dependent branching process ⋮ Branching processes. I ⋮ Identifiability of age-dependent branching processes from extinction probabilities and number distributions ⋮ Estimation of growth rate in second order branching process ⋮ Stochastic Monotonicity and Continuity Properties of the Extinction Time of Bellman-Harris Branching Processes: An Application to Epidemic Modelling ⋮ Minimum distance estimation using the Lotka limit for age dependent branching processes ⋮ Preservation of some life length classes for age distributions associated with age-dependent branching processes ⋮ Bayesian conjugate analysis of the Galton-Watson process ⋮ Nonparametric Bayesian predictive distributions for future order statistics ⋮ Conditional Laplace transforms for Bayesian nonparametric inference in reliability theory

Cites Work

• Convergence of the age distribution in the one-dimensional supercritical age-dependent branching process
• A Bayesian analysis of some nonparametric problems
• Nonparametric Estimation from Incomplete Observations
• Nonparametric Bayesian Estimation of Survival Curves from Incomplete Observations
• Branching Processes
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