Asymmetry tests for bifurcating auto-regressive processes with missing data

We present symmetry tests for bifurcating autoregressive (BAR) processes when some data are missing. BAR processes typically model cell division data. Each cell can be of one of two types odd or even. The goal of this paper is to study the possible asymmetry between odd and even cells in a single ob...

Full description

Saved in:
Bibliographic Details
Published in:Statistics & probability letters 2012-07, Vol.82 (7), p.1439-1444
Main Authors: de Saporta, Benoîte, Gégout-Petit, Anne, Marsalle, Laurence
Format: Article
Language:English
Subjects:
Bifurcating autoregressive processes
Cell division data
Missing data
Statistics
Statistics Theory
Two-type Galton–Watson model
Wald’s test
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We present symmetry tests for bifurcating autoregressive (BAR) processes when some data are missing. BAR processes typically model cell division data. Each cell can be of one of two types odd or 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 simulated and real data.
ISSN:0167-7152
1879-2103
DOI:10.1016/j.spl.2012.04.003