Actuarial statistics with generalized linear mixed models, Insurance: Mathematics and Economics, vol.40, issue.1, pp.58-76, 2007. ,
DOI : 10.1016/j.insmatheco.2006.02.013
Statistical inference for time-changed L??vy processes via composite characteristic function estimation, The Annals of Statistics, vol.39, issue.4, pp.2205-2242, 2011. ,
DOI : 10.1214/11-AOS901
Minimal Penalties for Gaussian Model Selection, Probability Theory and Related Fields, vol.6, issue.1-2, pp.33-73, 2007. ,
DOI : 10.1007/s00440-006-0011-8
Decompounding random sums: a nonparametric approach, Annals of the Institute of Statistical Mathematics, vol.26, issue.5, pp.855-872, 2010. ,
DOI : 10.1007/s10463-008-0200-6
Sharp optimality in density deconvolution with dominating bias. I. Theory Probab, Appl, vol.52, pp.24-39, 2008. ,
Sharp optimality in density deconvolution with dominating bias. II. Theory Probab, Appl, vol.52, pp.237-249, 2008. ,
Fast nonparametric estimation for convolutions of densities, Canadian Journal of Statistics, vol.51, issue.4, pp.617-636, 2013. ,
DOI : 10.1002/cjs.11191
URL : https://hal.archives-ouvertes.fr/hal-00798766
Nonparametric density estimation in compound Poisson processes using convolution power estimators, Metrika, vol.153, issue.1, pp.163-183, 2014. ,
DOI : 10.1007/s00184-013-0475-3
Nonparametric estimation for pure jump L??vy processes based on high frequency data, Stochastic Processes and their Applications, pp.4088-4123, 2009. ,
DOI : 10.1016/j.spa.2009.09.013
Nonlinear Models for Repeated Measurement Data, 1995. ,
Density estimation for compound Poisson processes from discrete data, Stochastic Processes and their Applications, vol.123, issue.11, 2013. ,
DOI : 10.1016/j.spa.2013.06.006
Modelling extremal events, 1997. ,
DOI : 10.1007/978-3-642-33483-2
A kernel type nonparametric density estimator for decompounding, Bernoulli, vol.13, issue.3, p.672694, 2007. ,
DOI : 10.3150/07-BEJ6091
Nonparametric estimation of Lévy models based on discrete-sampling. Optimality, IMS Lecture Notes Monogr. Ser. Inst. Math. Statist, vol.57, pp.117-146, 2009. ,
Mixed Poisson processes, Monographs on Statistics and Applied Probability, 1997. ,
DOI : 10.1007/978-1-4899-3117-7
Nonparametric inference for discretely sampled L??vy processes, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.48, issue.1, pp.282-307, 2012. ,
DOI : 10.1214/11-AIHP433
Martingale limit theory and its application. Probability and Mathematical Statistics, 1980. ,
Non-life insurance mathematics. An introduction with the Poisson process, 2009. ,
On the effect of estimating the error density in nonparametric deconvolution, Journal of Nonparametric Statistics, vol.46, issue.4, pp.307-320, 1997. ,
DOI : 10.1214/aos/1176348768
Nonparametric estimation for L??vy processes from low-frequency observations, Bernoulli, vol.15, issue.1, pp.223-248, 2009. ,
DOI : 10.3150/08-BEJ148
Mixed-Effects Models in S and S-PLUS, 2000. ,
DOI : 10.1007/978-1-4419-0318-1
Introduction to Theoretical Neurobiology Nonlinear and stochastic theories. Cambridge studies in biology 8, 1998. ,
An oracle inequality for penalised projection estimation of L??vy densities from high-frequency observations, Journal of Nonparametric Statistics, vol.36, issue.4, pp.967-989, 2011. ,
DOI : 10.1080/0094965021000015477
rue des Saints-P` eres, 75006 PARIS, FRANCE email. fabienne.comte@parisdescartes.fr Supporting information Additional supporting information may be found in the online version of this article at the publishers web site ,
Additional proofs A.1. Proof of Lemma 1 ,
Additional simulation results ,