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5 papers · 1 filter
Adaptive estimation of linear functionals in the convolution model and applications
C. Butucea, F. Comte
We consider the model , for i.i.d. 's and 's and independent sequences and $(\varepsilon_i)_{i\in{\mathbb{N}}}…
Bounds for Bayesian order identification with application to mixtures
Antoine Chambaz, Judith Rousseau
The efficiency of two Bayesian order estimators is studied. By using nonparametric techniques, we prove new underestimation and overestimation bounds. The results apply to various…
Penalized nonparametric mean square estimation of the coefficients of diffusion processes
Fabienne Comte, Valentine Genon-Catalot, Yves Rozenholc
We consider a one-dimensional diffusion process which is observed at discrete times with regular sampling interval . Assuming that is strictly stationary,…
Uniform limit laws of the logarithm for estimators of the additive regression function in the presence of right censored data
Mohammed Debbarh, Vivian Viallon
It has been recently shown that nonparametric estimators of the additive regression function could be obtained in the presence of right censoring by coupling the marginal integrati…
Nonparametric estimation of the stationary density and the transition density of a Markov chain
Claire Lacour
In this paper, we study first the problem of nonparametric estimation of the stationary density of a discrete-time Markov chain . We consider a collection of projection…