Statistical study of asymmetry in cell ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
Statistical study of asymmetry in cell lineage data
Author(s) :
de Saporta, Benoîte [Auteur]
Institut de Mathématiques de Bordeaux [IMB]
Quality control and dynamic reliability [CQFD]
Institut de Mathématiques et de Modélisation de Montpellier [I3M]
Gégout-Petit, Anne [Auteur]
Institut de Mathématiques de Bordeaux [IMB]
Quality control and dynamic reliability [CQFD]
Marsalle, Laurence [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Institut de Mathématiques de Bordeaux [IMB]
Quality control and dynamic reliability [CQFD]
Institut de Mathématiques et de Modélisation de Montpellier [I3M]
Gégout-Petit, Anne [Auteur]
Institut de Mathématiques de Bordeaux [IMB]
Quality control and dynamic reliability [CQFD]
Marsalle, Laurence [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Journal title :
Computational Statistics and Data Analysis
Pages :
15-39
Publisher :
Elsevier
Publication date :
2014
ISSN :
0167-9473
HAL domain(s) :
Statistiques [stat]/Applications [stat.AP]
English abstract : [en]
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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Popular science :
Non
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