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We adress the problem of Laplace deconvolution with random noise in a regression framework. The time set is not considered to be fixed, but grows with the number of observation points. Moreover, the c...
Blind deconvolution involves the estimation of a sharp signal or image given only a blurry observation. Because this problem is fundamentally ill-posed, strong priors on both the sharp image and blur ...
We consider the problem of estimating the unknown response function in the multichannel deconvolution model with long-range dependent Gaussian errors. We do not limit our consideration to a specific t...
We study the problem of quantile estimation in deconvolution with ordinary smooth error distributions. In particular, we focus on the more realistic setup of unknown error distributions. We develop a ...
In the present paper we consider Laplace deconvolution on the basis of discrete noisy data observed on the interval which length may increase with a sample size. Although this problem arises in a vari...
We survey classical kernel methods for providing nonparametric solutions to problems involving measurement error. In particular we outline kernel-basedmethodology in this setting, and discuss its ba...
In recent years, there has been an avalanche of new data in observa- tional high-energy astrophysics. Recently launched or soon-to-be launched space- based telescopes that are designed to detect and...
We assume that an additional sample x1, . . . , xm from fx is observed. Estimators of fX and its derivatives are constructed by using nonparametric estimators of fY and fx and by applying a spectral...
The aim of this paper is to show the usefulness of Meyer wavelets for the classical problem of density estimation and for density deconvolution fromnoisy observations. By using suchwavelets, the comp...
We extend deconvolution in a periodic setting to deal with functional data. The resulting functional deconvolution model can be viewed as a generalization of a multitude of inverse problems in mathe...
In many real applications, the distribution of measurement error could vary with each subject or even with each observation so the errors are heteroscedastic. In this paper, we propose a fast algori...
In this paper we consider a random variable Y contamined by an independent additive noise Z.We assume that Z has known distribution. Our purpose is to test the distribution of the unobserved random ...
This paper proposes a non-Gaussian Markov field with a special feature: an explicit partition function.To the best of our knowledge, this is an original contribution. Moreover, the explicit expression...
We consider testing statistical hypotheses about densities of signals in deconvolution models. A new approach to this problem is proposed. We constructed score tests for the deconvolution with the k...

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