DE SAPORTA, Benoîte; GÉGOUT-PETIT, Anne; MARSALLE, Laurence

doi:10.1016/j.spl.2012.04.003

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DE SAPORTA, Benoîte
Institut de Mathématiques de Bordeaux [IMB]
Quality control and dynamic reliability [CQFD]
Groupe de Recherche en Economie Théorique et Appliquée [GREThA]

GÉGOUT-PETIT, Anne
Institut de Mathématiques de Bordeaux [IMB]
Quality control and dynamic reliability [CQFD]

MARSALLE, Laurence
Laboratoire Paul Painlevé - UMR 8524 [LPP]

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Statistics and Probability Letters. 2012, vol. 82, n° 7, p. 1439-1444

Elsevier

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We present symmetry tests for bifurcating autoregressive processes (BAR) when some data are missing. BAR processes typically model cell division data. Each cell can be of one of two types \emph{odd} or \emph{even}. The goal of this paper is to study the possible asymmetry between odd and even cells in a single observed lineage. We first derive asymmetry tests for the lineage itself, modeled by a two-type Galton-Watson process, and then derive tests for the observed BAR process. We present applications on both simulated and real data.< Leer menos

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Asymmetry tests for Bifurcating Auto-Regressive Processes with missing data

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