Quasi-likelihood estimation in stationary and nonstationary autoregressive models with random coefficients, Statist. Sinica, vol.21, issue.3, pp.973-999, 2011. ,
Estimation in Random Coefficient Autoregressive Models, Journal of Time Series Analysis, vol.38, issue.1, pp.61-76, 2006. ,
DOI : 10.1111/j.1467-9892.2005.00453.x
Cell contamination and branching processes in a random environment with immigration, Adv. in Appl. Probab, vol.41, issue.4, pp.1059-1081, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00485290
Non-Gaussian bifurcating models and quasi-likelihood estimation, Stochastic methods and their applications, pp.55-64, 2004. ,
DOI : 10.1239/jap/1032374768
URL : http://projecteuclid.org/download/pdfview_1/euclid.jap/1082552190
Limit theorems for bifurcating integer-valued autoregressive processes. To appear in Stat, Inference Stoch. Process, p.17, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01023462
Asymptotic Analysis for Bifurcating AutoRegressive Processes via a Martingale Approach, Electronic Journal of Probability, vol.14, issue.0, pp.2492-2526, 2009. ,
DOI : 10.1214/EJP.v14-717
URL : https://hal.archives-ouvertes.fr/hal-00325866
Estimation in nonstationary random coefficient autoregressive models, Journal of Time Series Analysis, vol.2, issue.4, pp.395-416, 2009. ,
DOI : 10.1111/j.1467-9892.2009.00615.x
Deviation inequalities and moderate deviations for estimators of parameters in bifurcating autoregressive models, Ann. Inst. Henri Poincaré Probab. Stat, vol.50, pp.3-806, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00686641
Asymptotic results for random coefficient bifurcating autoregressive processes, Statistics, vol.89, issue.425, 2014. ,
DOI : 10.1214/aos/1176350617
URL : https://hal.archives-ouvertes.fr/hal-00696295
The Bifurcating Autoregression Model in Cell Lineage Studies, Biometrics, vol.42, issue.4, pp.769-783, 1986. ,
DOI : 10.2307/2530692
Parameters estimation for asymmetric bifurcating autoregressive processes with missing data, Electronic Journal of Statistics, vol.5, issue.0, pp.1313-1353, 2011. ,
DOI : 10.1214/11-EJS643
URL : https://hal.archives-ouvertes.fr/hal-00545447
Asymmetry tests for bifurcating auto-regressive processes with missing data, Statistics & Probability Letters, vol.82, issue.7, pp.1439-1444, 2012. ,
DOI : 10.1016/j.spl.2012.04.003
URL : https://hal.archives-ouvertes.fr/hal-00662129
Random coefficients bifurcating autoregressive processes, ESAIM: Probability and Statistics, vol.18, 2014. ,
DOI : 10.1051/ps/2013042
URL : https://hal.archives-ouvertes.fr/hal-00702357
Statistical study of asymmetry in cell lineage data, Computational Statistics & Data Analysis, vol.69, pp.15-39, 2014. ,
DOI : 10.1016/j.csda.2013.07.025
URL : https://hal.archives-ouvertes.fr/hal-00702359
Detection of cellular aging in a Galton-Watson process. Stochastic Process, Appl, vol.120, pp.12-2495, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00293422
Random iterative models, of Applications of Mathematics ,
DOI : 10.1007/978-3-662-12880-0
Translated from the, 1990. ,
Limit theorems for bifurcating Markov chains. Application to the detection of cellular aging, The Annals of Applied Probability, vol.17, issue.5/6, pp.5-6, 2007. ,
DOI : 10.1214/105051607000000195
Statistical Study of Cellular Aging, CEMRACS 2004?mathematics and applications to biology and medicine of ESAIM Proc. EDP Sci., Les Ulis, pp.100-114, 2005. ,
DOI : 10.1051/proc:2005009
Martingale limit theory and its application, 1980. ,
Estimation theory for growth and immigration rates in a multiplicative process, Journal of Applied Probability, vol.28, issue.02, pp.235-256, 1972. ,
DOI : 10.2307/3211835
Extensions of the bifurcating autoregressive model for cell lineage studies, Journal of Applied Probability, vol.89, issue.04, pp.1225-1233, 1999. ,
DOI : 10.1214/aos/1032526961
Inference for the Extended Bifurcating Autoregressive Model for Cell Lineage Studies, Australian <html_ent glyph="@amp;" ascii="&"/> New Zealand Journal of Statistics, vol.42, issue.4, pp.423-432, 2000. ,
DOI : 10.1111/1467-842X.00139
Variance Components Models for Dependent Cell Populations, Journal of the American Statistical Association, vol.89, issue.425, pp.425-444, 1994. ,
DOI : 10.2307/2291197
Adaptive estimation in a random coefficient autoregressive model, The Annals of Statistics, vol.24, issue.3, pp.1025-1052, 1996. ,
DOI : 10.1214/aos/1032526954
Sur les séries de fonctions orthogonales, Fundamenta Math, vol.4, pp.82-105, 1923. ,
Random coefficient autoregressive models: an introduction, Lecture Notes in Statistics Lecture Notes in Physics, vol.11, issue.151, 1982. ,
DOI : 10.1007/978-1-4684-6273-9
The estimation of random coefficient autoregressive models. II, J. Time Ser. Anal, vol.2, pp.3-185, 1981. ,
Einige S???tze ???ber Reihen von allgemeinen Orthogonalfunktionen, Mathematische Annalen, vol.66, issue.1-2, pp.112-138, 1922. ,
DOI : 10.1007/BF01458040
? n-consistent estimation in a random coefficient autoregressive model Austral ,
Aging and Death in an Organism That Reproduces by Morphologically Symmetric Division, PLoS Biology, vol.297, issue.2, p.45, 2005. ,
DOI : 10.1371/journal.pbio.0030045.sv001
URL : https://hal.archives-ouvertes.fr/inserm-00080154
Almost sure convergence, Probability and Mathematical Statistics, vol.24, 1974. ,
Convergence of orthogonal series using stochastic processes, 1996. ,
Über die Divergenz der Orthogonalreihen, Publ. Math. Debrecen, vol.8, pp.291-307, 1961. ,
Bemerkung zur Konvergenz der Orthogonalreihen, Acta Sci. Math. (Szeged), vol.26, pp.249-251, 1965. ,
DOI : 10.1524/anly.1986.6.23.135
Rate of convergence for a class of RCA estimators, Kybernetika (Prague), vol.42, issue.6, pp.699-709, 2006. ,
Adaptive Prediction by Least Squares Predictors in Stochastic Regression Models with Applications to Time Series, The Annals of Statistics, vol.15, issue.4, pp.1667-1682, 1987. ,
DOI : 10.1214/aos/1176350617
Least-squares estimation for bifurcating autoregressive processes, Statistics & Probability Letters, vol.74, issue.1, pp.77-88, 2005. ,
DOI : 10.1016/j.spl.2005.04.024
Maximum Likelihood Estimation for a First-Order Bifurcating Autoregressive Process with Exponential Errors, Journal of Time Series Analysis, vol.89, issue.6, pp.825-842, 2005. ,
DOI : 10.1111/1467-9892.00310