Asymmetry tests for bifurcating auto-regressive processes with missing data

DOI10.1016/j.spl.2012.04.003zbMath1296.62161arXiv1112.3745OpenAlexW2059539860MaRDI QIDQ449422

Benoîte De Saporta, Laurence Marsalle, Anne Gégout-Petit

Publication date: 30 August 2012

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.3745

zbMATH Keywords

missing databifurcating autoregressive processescell division datatwo-type Galton-Watson modelWald's test

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Applications of statistics to biology and medical sciences; meta analysis (62P10) Censored data models (62N01) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Non-Markovian processes: hypothesis testing (62M07) Asymptotic properties of parametric tests (62F05)

Related Items (9)

Statistical study of asymmetry in cell lineage data ⋮ 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 ⋮ A Rademacher-Menchov approach for random coefficient bifurcating autoregressive processes ⋮ The asymptotic behaviors for least square estimation of multi-casting autoregressive processes ⋮ Deviation inequalities for bifurcating Markov chains on Galton−Watson tree ⋮ Statistical estimation in a randomly structured branching population ⋮ Limit theorems for bifurcating integer-valued autoregressive processes

Cites Work

• Asymptotic optimal inference for multivariate branching-Markov processes via martingale estimating functions and mixed normality
• Detection of cellular aging in a Galton-Watson process
• Branching Markov processes and related asymptotics
• Asymptotic analysis for bifurcating autoregressive processes via a martingale approach
• Parameters estimation for asymmetric bifurcating autoregressive processes with missing data
• Limit theorems for bifurcating Markov chains. Application to the detection of cellular aging
• The Bifurcating Autoregression Model in Cell Lineage Studies
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymmetry tests for bifurcating auto-regressive processes with missing data