Estimation of the parameters of a branching process from migrating binomial observations

DOI10.1239/aap/1035228202zbMath0923.62087OpenAlexW1996430610MaRDI QIDQ4236693

Jean Peccoud, Christine Jacob

Publication date: 31 October 1999

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

Full work available at URL: https://semanticscholar.org/paper/53983442ed28426325a4d9bd1c1faed2e85f15f1

zbMATH Keywords

migrationgeneration-dependence

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Applications of statistics to biology and medical sciences; meta analysis (62P10) Markov processes: estimation; hidden Markov models (62M05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (11)

Conditional least squares estimation in nonstationary nonlinear stochastic regression models ⋮ Modelling the PCR amplification process by a size-dependent branching process and estimation of the efficiency ⋮ Random variation and concentration effects in PCR ⋮ Harmonic moments and large deviation rates for supercritical branching processes ⋮ Large deviations for sums indexed by the generations of a Galton-Watson process ⋮ Asymptotic distribution of the CLSE in a critical process with immigration ⋮ Bayesian Estimation for Quantification by Real-time Polymerase Chain Reaction Under a Branching Process Model of the DNA Molecules Amplification Process ⋮ Weak convergence results for multiple generations of a branching process ⋮ Asymptotically Normal Estimators for the Offspring Mean in the Branching Process with Immigration ⋮ Estimation in branching processes with restricted observations ⋮ Estimation of the PCR efficiency based on a size-dependent modelling of the amplification process

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