Identification of multitype branching processes

DOI10.1214/009053605000000561zbMath1099.62096arXivmath/0603071OpenAlexW3099999322MaRDI QIDQ817989

Abderrahmen Touati, Faïza Maaouia

Publication date: 23 March 2006

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603071

zbMATH Keywords

law of the iterated logarithmmaximum likelihood estimatorleast squares estimatormultidimensional Lotka-Nagaev estimatorquadratic strong law of large numbers

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Estimation in multivariate analysis (62H12) Parametric tolerance and confidence regions (62F25) Central limit and other weak theorems (60F05) Markov processes: estimation; hidden Markov models (62M05) Strong limit theorems (60F15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (7)

Statistical study of asymmetry in cell lineage data ⋮ Conditional least squares estimation in nonstationary nonlinear stochastic regression models ⋮ Self-normalized Cramér moderate deviations for a supercritical Galton–Watson process ⋮ Parameters estimation for asymmetric bifurcating autoregressive processes with missing data ⋮ Théorèmes limites avec poids pour les martingales vectorielles ⋮ Limit theorems for bifurcating Markov chains. Application to the detection of cellular aging ⋮ On the identification of a supercritical branching process

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