A Rademacher???Menchov approach for random coefficient bifurcating autoregressive processes, Stochastic Processes and their Applications, pp.1218-1243, 2015. ,
DOI : 10.1016/j.spa.2014.10.006
URL : https://hal.archives-ouvertes.fr/hal-00745634
Deviation inequalities and moderate deviations for estimators of parameters in bifurcating autoregressive models. Annales de l'IHP-PS, pp.806-844, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00686641
Transportation and concentration inequalities for bifurcating Markov chains, Bernoulli, vol.23, issue.4B, pp.3213-3242, 2017. ,
DOI : 10.3150/16-BEJ843
URL : https://hal.archives-ouvertes.fr/hal-01582161
Adaptive estimation for bifurcating Markov chains, Bernoulli, vol.23, issue.4B, pp.3598-3637, 2017. ,
DOI : 10.3150/16-BEJ859
URL : https://hal.archives-ouvertes.fr/hal-01251594
Autoregressive functions estimation in nonlinear bifurcating autoregressive models, Statistical Inference for Stochastic Processes, pp.179-210, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01159255
The Bifurcating Autoregression Model in Cell Lineage Studies, Biometrics, vol.42, issue.4, pp.769-783, 1986. ,
DOI : 10.2307/2530692
Large deviations techniques and applications, second edition, Applications of Mathematics, vol.38, 1998. ,
Random coefficients bifurcating autoregressive processes, ESAIM: Probability and Statistics, pp.365-399, 2014. ,
DOI : 10.1016/j.spl.2005.04.024
URL : https://hal.archives-ouvertes.fr/hal-00702357
Limit theorems for bifurcating Markov chains. Application to the detection of cellular aging, The Annals of Applied Probability, vol.17, issue.5/6, pp.1538-1569, 2007. ,
DOI : 10.1214/105051607000000195
Sharp large deviations in nonparametric estimation, Journal of Nonparametric Statistics, vol.337, issue.3, pp.293-306, 2006. ,
DOI : 10.1007/978-1-4612-4384-7
URL : http://www-gremaq.univ-tlse1.fr/perso/joutard/gnst_a_181864_o.pdf
Large Deviations Limit Theorems for the Kernel Density Estimator, Scandinavian Journal of Statistics, vol.25, issue.1, pp.243-253, 1998. ,
DOI : 10.1111/1467-9469.00101
Some Large Deviations Limit Theorems in Conditional Nonparametric Statistics, Statistics, vol.26, issue.2, pp.171-196, 1999. ,
DOI : 10.1214/aos/1176349943
Confidence bands for densities, logarithmic point of view, Alea, vol.2, pp.231-266, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00690300
Large and moderate deviations principles for kernel estimators of the multivariate regression, Mathematical Methods of Statistics, vol.10, issue.2, pp.1-27, 2008. ,
DOI : 10.1515/9781400873173
URL : https://hal.archives-ouvertes.fr/hal-00136115
Large deviations of semimartingales via convergence of the predictable characteristics, Stochastics and Stochastic Reports, vol.8801, issue.2, pp.27-85, 1994. ,
DOI : 10.1214/aop/1176989401
Introduction to Nonparametric Estimation. Springer series in statistics, 2009. ,
Principes de déviations modérées pour des martingales et applications statistiques, Thèse de Doctoratà Doctoratà l'Université Marne-la-Vallée, 2000. ,
DOI : 10.1016/s0764-4442(00)00284-6
Moderate deviations of some dependent variables. I. Martingales, Mathematical Methods of Statistics, vol.10, pp.38-72, 2001. ,
Moderate deviations of some dependent variables. II. Some kernel estimators, Mathematical Methods of Statistics, vol.10, pp.161-193, 2001. ,
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