Parameters estimation for asymmetric bifurcating autoregressive processes with missing data

DOI10.1214/11-EJS643zbMath1274.62192arXiv1012.2012OpenAlexW2029842518MaRDI QIDQ1952227

Anne Gégout-Petit, Laurence Marsalle, Benoîte De Saporta

Publication date: 28 May 2013

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.2012

zbMATH Keywords

martingaleslimit theoremsmissing datajoint modelleast squares estimationGalton-Watson processbifurcating autoregressive process

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Martingales with discrete parameter (60G42) Non-Markovian processes: estimation (62M09) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (11)

Statistical study of asymmetry in cell lineage data ⋮ Asymptotic results for random coefficient bifurcating autoregressive processes ⋮ A phase transition for large values of bifurcating autoregressive models ⋮ Autoregressive functions estimation in nonlinear bifurcating autoregressive models ⋮ Deviation inequalities and moderate deviations for estimators of parameters in bifurcating autoregressive models ⋮ Asymmetry tests for bifurcating auto-regressive processes with missing data ⋮ Deviation inequalities, moderate deviations and some limit theorems for bifurcating Markov chains with application ⋮ A Rademacher-Menchov approach for random coefficient bifurcating autoregressive processes ⋮ Deviation inequalities for bifurcating Markov chains on Galton−Watson tree ⋮ Limit theorems for bifurcating integer-valued autoregressive processes ⋮ Exponential Growth of Bifurcating Processes with Ancestral Dependence

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• The Bifurcating Autoregression Model in Cell Lineage Studies
• Branching Processes
• Statistical Study of Cellular Aging

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