FIRST-ORDER INTEGER-VALUED AUTOREGRESSIVE (INAR(1)) PROCESS, Journal of Time Series Analysis, vol.4, issue.3, pp.3-261, 1987. ,
DOI : 10.1214/aop/1176994950
An integer-valued pth-order autoregressive structure (INAR(p)) process, J. Appl. Probab, vol.27, pp.2-314, 1990. ,
Proliferating parasites in dividing cells: Kimmel???s branching model revisited, The Annals of Applied Probability, vol.18, issue.3, pp.967-996, 2008. ,
DOI : 10.1214/07-AAP465
Branching Feller diffusion for cell division with parasite infection. ALEA Lat, Am. J. Probab. Math. Stat, vol.8, pp.95-127, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00469680
Non-Gaussian bifurcating models and quasi-likelihood estimation, Stochastic methods and their applications, pp.41-55, 2004. ,
A rademacher-menchov approach for random coefficient bifurcating autoregressive processes. arXiv math, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01023595
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
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
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, 1997. ,
DOI : 10.1007/978-3-662-12880-0
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
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
First-order rounded integer-valued autoregressive (RINAR(1)) process, Journal of Time Series Analysis, vol.7, issue.4, pp.417-448, 2009. ,
DOI : 10.1111/j.1467-9892.2009.00620.x
URL : https://hal.archives-ouvertes.fr/hal-00437353
SOME SIMPLE MODELS FOR DISCRETE VARIATE TIME SERIES, Journal of the American Water Resources Association, vol.14, issue.2, pp.645-650, 1985. ,
DOI : 10.1111/j.1752-1688.1985.tb05379.x
THE ESTIMATION OF RANDOM COEFFICIENT AUTOREGRESSIVE MODELS. I, Journal of Time Series Analysis, vol.2, issue.1, pp.1-37, 1980. ,
DOI : 10.2307/3315017
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. ,
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
Estimation of the Means in the Branching Process with Immigration, The Annals of Statistics, vol.18, issue.4, pp.4-1757, 1990. ,
DOI : 10.1214/aos/1176347876
Estimation of the variances in the branching process with immigration, Probability Theory and Related Fields, vol.33, issue.1, pp.77-106, 1991. ,
DOI : 10.1007/BF01193583
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