Asymmetry tests for Bifurcating Auto-Regressive Processes with missing data

Abstract : 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.
Document type :
Journal articles
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00662129
Contributor : Benoîte de Saporta <>
Submitted on : Monday, January 23, 2012 - 12:05:39 PM
Last modification on : Wednesday, December 5, 2018 - 9:02:07 AM

Links full text

Identifiers

  • HAL Id : hal-00662129, version 1
  • ARXIV : 1112.3745

Collections

Citation

Benoîte de Saporta, Anne Gégout-Petit, Laurence Marsalle. Asymmetry tests for Bifurcating Auto-Regressive Processes with missing data. Statistics and Probability Letters, Elsevier, 2012, 82 (7), pp1439-1444. ⟨hal-00662129⟩

Share

Metrics

Record views

412