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

83 citations

Showing 2006Show all

6 papers · 1 filter

math.PR200683 cited

Level crossings and other level functionals of stationary Gaussian processes

Marie F. Kratz

This paper presents a synthesis on the mathematical work done on level crossings of stationary Gaussian processes, with some extensions. The main results [(factorial) moments, repr…

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…

math.PR200623 cited

Fractional SPDEs driven by spatially correlated noise: existence of the solution and smoothness of its density

Lahcen Boulanba, M'hamed Eddahbi, Mohamed Mellouk

In this paper we study a class of stochastic partial differential equations in the whole space , with arbitrary dimension , driven by a Gaussian noise whit…

cs.CV20066 cited

Camera motion estimation through planar deformation determination

Claire Jonchery, Françoise Dibos, Georges Koepfler

In this paper, we propose a global method for estimating the motion of a camera which films a static scene. Our approach is direct, fast and robust, and deals with adjacent frames…