Statistical study of asymmetry in cell lineage data

Abstract : A rigorous methodology is proposed to study cell division data consisting in several observed genealogical trees of possibly different shapes. The procedure takes into account missing observations, data from different trees, as well as the dependence structure within genealogical trees. Its main new feature is the joint use of all available information from several data sets instead of single data set estimation, to avoid the drawbacks of low accuracy for estimators or low power for tests on small single trees. The data is modeled by an asymmetric bifurcating autoregressive process and possibly missing observations are taken into account by modeling the genealogies with a two-type Galton-Watson process. Least-squares estimators of the unknown parameters of the processes are given and symmetry tests are derived. Results are applied on real data of Escherichia coli division and an empirical study of the convergence rates of the estimators and power of the tests is conducted on simulated data.
Document type :
Journal articles
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00702359
Contributor : Benoîte de Saporta <>
Submitted on : Wednesday, May 30, 2012 - 9:39:18 AM
Last modification on : Wednesday, December 5, 2018 - 9:02:07 AM

Links full text

Identifiers

Citation

Benoîte de Saporta, Anne Gégout-Petit, Laurence Marsalle. Statistical study of asymmetry in cell lineage data. Computational Statistics and Data Analysis, Elsevier, 2014, 69, pp.15-39. ⟨10.1016/j.csda.2013.07.025⟩. ⟨hal-00702359⟩

Share

Metrics

Record views

240