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20052009
most citedLevel crossings and other level functionals of stationary Gaussian processes

83 citations

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5 papers · 1 filter

math.ST2009

Assessing the Distribution Consistency of Sequential Data

Mahendra Mariadassou, Avner Bar-Hen

Given n observations, we study the consistency of a batch of k new observations, in terms of their distribution function. We propose a non-parametric, non-likelihood test based on…

math.ST20095 cited

Pointwise adaptive estimation for robust and quantile regression

Markus Reiss, Yves Rozenholc, Charles-Andre Cuenod

A nonparametric procedure for robust regression estimation and for quantile regression is proposed which is completely data-driven and adapts locally to the regularity of the regre…

math.ST200637 cited

Rates of convergence for nonparametric deconvolution

Claire Lacour

This Note presents original rates of convergence for the deconvolution problem. We assume that both the estimated density and noise density are supersmooth and we compute the risk…

math.ST200621 cited

Adaptive estimation of the transition density of a particular hidden Markov chain

Claire Lacour

We study the following model of hidden Markov chain: , with a real-valued positive recurrent and stationary Markov chain and $(ε_i)_{1\leq i\leq…

math.ST200629 cited

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…