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Functional data often arise from measurements on fine time grids and are obtained by separating an almost continuous time record into natural consecutive intervals, for example, days. The functions th...
In this article we study the estimation of the location of jump points in the first derivative (referred to as kinks) of a regression function μ in two random design models with different long-range...
This paper deals with empirical processes of the type Cn(B) =pn{μn(B)− P(Xn+1 2 B |X1, . . . ,Xn)}, where (Xn) is a sequence of random variables and μn = (1/n)Pn i=1 Xi the empirical measure...
In many applications one is interested to detect certain (known) patterns in the mean of a process with smallest delay. Using an asymptotic framework which allows to capture that feature, we study a...
Under an appropriate regular variation condition, the affinely normalized partial sums of a sequence of independent and identically dis- tributed random variables converges weakly to a non-Gaussian ...
We consider the problem of clustering grouped and functional data, which are indexed by a covariate, and assessing the dependency of the clustered groups on the covariate. We assume that each observ...
Much is now known about the consistency of Bayesian updat- ing on infinite-dimensional parameter spaces with independent or Marko- vian data. Necessary conditions for consistency include the prior p...
Central limit theorem for some dependent random elements of D [0,1]。
We investigate stability, with respect to convergence of coefficients, of one-dimensional It6 diRussions as well as one-dimensionat diffusions wrresponding to second order divergence form operators....
In this paper, we prove, using Malliavin calculus, that under a global Hormander condition the law of a Riemannian manifold valued stochastic process, a solution of a stochastic differential equati...
In this paper, we extend the previously proposed MRH methods(Bouman et al.2005, 2007) into the hierarchical multiresolution hazard setting (HMRH), to accommodate the case of separate hazard rate funct...
In this paper we obtain a Functional Central Limit Theorem for the empirical process of a stationary sequence under a new weak dependence condition introduced by Doukhan and Louhichi [5]. This resu...
The paper studies G/G/l queues with heavy-tailed probability distributions of the service times and/or the interarrival times. It relies on the fact that the heavy traffic limiting distribution of t...
We prove an inequality for the difference between a joint distribution and the product of its marginals for certtlln classes of positively dependent random variables. Some multivariate extensions a...
We introduce dzerent ways of being dependent for the input noise of stochastic algorithms. We are aimed to prove that such innovations allow to use the ODE (ordinary differential equation) method. ...

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