Rachid Sabre | CNRS Université de Bourgogne (original) (raw)

Papers by Rachid Sabre

Research paper thumbnail of Evolutionary Spectrum for Random Fields and missing observations

HAL (Le Centre pour la Communication Scientifique Directe), 2012

International audienc

Research paper thumbnail of Smoothing Parameter Selection and Alpha-Stable P-Adic Time Signals

Signal Image Processing and Multimedia

The estimation of the spectral density of stable p-adic signals is already done. Such estimation ... more The estimation of the spectral density of stable p-adic signals is already done. Such estimation is based on smoothing the periodogram by using a spectral window. The convergence rate of this estimator depends on bandwidth of spectral window (called the smoothing parameter). The aim of this work is to give a technique for selecting the optimal parameter, i.e. the parameter that achieves the estimation with the best convergence rate. For that purpose, we were inspired by the cross-validation method of finding the optimal parameter. This method minimizes the integrated square error estimate.

Research paper thumbnail of Mixed Spectra Estimation for Stable P-adic Random Fields

International Journal of Signal Processing Systems

Research paper thumbnail of Cross-validation method for bivariate measure with certain mixture

Journal of Physics: Conference Series, 2016

Research paper thumbnail of Planification expérimentale en agroalimentaire

Techniques De L Ingenieur Agroalimentaire, 2006

Research paper thumbnail of Spectral density estimation for symmetric stable p-adic processes

Research paper thumbnail of Discrete estimation of spectral density for symmetric stable process

Research paper thumbnail of Test and asymptotic normality for mixed bivariate measure

Research paper thumbnail of Plans d'expériences: Méthode de Taguchi

Techniques De L Ingenieur Agroalimentaire, 2007

Research paper thumbnail of Nonparametric density estimation of continuous part of a mixed measure

Research paper thumbnail of Estimation de la densité de la mesure spectrale mixte pour un processus symétrique stable strictement stationnaire

Comptes Rendus De L Academie Des Sciences Serie 1 Mathematique, 1994

Research paper thumbnail of Wavelet Decomposition and Alpha Stable Fusion

Aircc Publishing Corporation, 2020

This article gives a new method of fusing multifocal images combining the Laplacian pyramid and t... more This article gives a new method of fusing multifocal images combining the Laplacian pyramid and the wavelet decomposition using the stable distance alpha as a selection rule. We start by decomposing multifocal images into several pyramid levels, then applying the wavelet decomposition to each level. the originality of this work is to use the stable distance alpha to fuse the wavelet images at each level of the Pyramid. To obtain the final fused image, we reconstructed the combined image at each level of the pyramid. We compare our method to other existing methods in the literature and we deduce that it is almost better

Research paper thumbnail of Spectral density estimation for stationary stable processes

Stochastic processes and their applications, 1984

... FOR STATIONARY STABLE PROCESSES Elias MASRY* Department of Electrical Engineering and Compute... more ... FOR STATIONARY STABLE PROCESSES Elias MASRY* Department of Electrical Engineering and Computer Science, University of California, San Diego, La Jolla, CA 92093. USA Stamatis CAMBANIS** Department of Statistics, University of 1Vorth Carolina, Chapel Hill, NC ...

Research paper thumbnail of Tests and asymptotic normality for mixed bivariate measure

Research paper thumbnail of Consistent estimates of the mode of the probability density function in nonparametric deconvolution problems

Statistics Probability Letters, Apr 1, 2000

We propose two estimates of the mode of the probability density function for nonparametric deconv... more We propose two estimates of the mode of the probability density function for nonparametric deconvolution problems. In fact, we observe Y = X + , where is a measurement error with a known distribution f , and we are interesting by estimating the mode of fX the unknown probability density function of X , where Y1; : : : ; Yn are n i.i.d given observations of Y . We study the asymptotic properties of these mode estimates and the asymptotic normality of the two mode estimates is also given.

Research paper thumbnail of The optimal choice of the spectral bandwidth for a random field

Research paper thumbnail of Le choix optimal de la largeur de fenêtre spectrale pour un champ aléatoire à temps discret

Research paper thumbnail of Evolutionary Spectrum for Random Field and Missing Observations

Lecture Notes in Computer Science, 2012

Research paper thumbnail of Path delay model based on α -stable distribution for the 60GHz indoor channel

GLOBECOM '03. IEEE Global Telecommunications Conference (IEEE Cat. No.03CH37489), 2003

In this work we give a statistical model of the paths' arrival time in the 60GHz wide band channe... more In this work we give a statistical model of the paths' arrival time in the 60GHz wide band channel. This model is based on the class of stable distributions, we show its accurateness on modeling real data. We also give a theoretical justification of its compatibility.

Research paper thumbnail of Consistent estimates of the mode of the probability density function in nonparametric deconvolution problems

Statistics & Probability Letters, 2000

We propose two estimates of the mode of the probability density function for nonparametric deconv... more We propose two estimates of the mode of the probability density function for nonparametric deconvolution problems. In fact, we observe Y = X + , where is a measurement error with a known distribution f , and we are interesting by estimating the mode of fX the unknown probability density function of X , where Y1; : : : ; Yn are n i.i.d given observations of Y . We study the asymptotic properties of these mode estimates and the asymptotic normality of the two mode estimates is also given.

Research paper thumbnail of Evolutionary Spectrum for Random Fields and missing observations

HAL (Le Centre pour la Communication Scientifique Directe), 2012

International audienc

Research paper thumbnail of Smoothing Parameter Selection and Alpha-Stable P-Adic Time Signals

Signal Image Processing and Multimedia

The estimation of the spectral density of stable p-adic signals is already done. Such estimation ... more The estimation of the spectral density of stable p-adic signals is already done. Such estimation is based on smoothing the periodogram by using a spectral window. The convergence rate of this estimator depends on bandwidth of spectral window (called the smoothing parameter). The aim of this work is to give a technique for selecting the optimal parameter, i.e. the parameter that achieves the estimation with the best convergence rate. For that purpose, we were inspired by the cross-validation method of finding the optimal parameter. This method minimizes the integrated square error estimate.

Research paper thumbnail of Mixed Spectra Estimation for Stable P-adic Random Fields

International Journal of Signal Processing Systems

Research paper thumbnail of Cross-validation method for bivariate measure with certain mixture

Journal of Physics: Conference Series, 2016

Research paper thumbnail of Planification expérimentale en agroalimentaire

Techniques De L Ingenieur Agroalimentaire, 2006

Research paper thumbnail of Spectral density estimation for symmetric stable p-adic processes

Research paper thumbnail of Discrete estimation of spectral density for symmetric stable process

Research paper thumbnail of Test and asymptotic normality for mixed bivariate measure

Research paper thumbnail of Plans d'expériences: Méthode de Taguchi

Techniques De L Ingenieur Agroalimentaire, 2007

Research paper thumbnail of Nonparametric density estimation of continuous part of a mixed measure

Research paper thumbnail of Estimation de la densité de la mesure spectrale mixte pour un processus symétrique stable strictement stationnaire

Comptes Rendus De L Academie Des Sciences Serie 1 Mathematique, 1994

Research paper thumbnail of Wavelet Decomposition and Alpha Stable Fusion

Aircc Publishing Corporation, 2020

This article gives a new method of fusing multifocal images combining the Laplacian pyramid and t... more This article gives a new method of fusing multifocal images combining the Laplacian pyramid and the wavelet decomposition using the stable distance alpha as a selection rule. We start by decomposing multifocal images into several pyramid levels, then applying the wavelet decomposition to each level. the originality of this work is to use the stable distance alpha to fuse the wavelet images at each level of the Pyramid. To obtain the final fused image, we reconstructed the combined image at each level of the pyramid. We compare our method to other existing methods in the literature and we deduce that it is almost better

Research paper thumbnail of Spectral density estimation for stationary stable processes

Stochastic processes and their applications, 1984

... FOR STATIONARY STABLE PROCESSES Elias MASRY* Department of Electrical Engineering and Compute... more ... FOR STATIONARY STABLE PROCESSES Elias MASRY* Department of Electrical Engineering and Computer Science, University of California, San Diego, La Jolla, CA 92093. USA Stamatis CAMBANIS** Department of Statistics, University of 1Vorth Carolina, Chapel Hill, NC ...

Research paper thumbnail of Tests and asymptotic normality for mixed bivariate measure

Research paper thumbnail of Consistent estimates of the mode of the probability density function in nonparametric deconvolution problems

Statistics Probability Letters, Apr 1, 2000

We propose two estimates of the mode of the probability density function for nonparametric deconv... more We propose two estimates of the mode of the probability density function for nonparametric deconvolution problems. In fact, we observe Y = X + , where is a measurement error with a known distribution f , and we are interesting by estimating the mode of fX the unknown probability density function of X , where Y1; : : : ; Yn are n i.i.d given observations of Y . We study the asymptotic properties of these mode estimates and the asymptotic normality of the two mode estimates is also given.

Research paper thumbnail of The optimal choice of the spectral bandwidth for a random field

Research paper thumbnail of Le choix optimal de la largeur de fenêtre spectrale pour un champ aléatoire à temps discret

Research paper thumbnail of Evolutionary Spectrum for Random Field and Missing Observations

Lecture Notes in Computer Science, 2012

Research paper thumbnail of Path delay model based on α -stable distribution for the 60GHz indoor channel

GLOBECOM '03. IEEE Global Telecommunications Conference (IEEE Cat. No.03CH37489), 2003

In this work we give a statistical model of the paths' arrival time in the 60GHz wide band channe... more In this work we give a statistical model of the paths' arrival time in the 60GHz wide band channel. This model is based on the class of stable distributions, we show its accurateness on modeling real data. We also give a theoretical justification of its compatibility.

Research paper thumbnail of Consistent estimates of the mode of the probability density function in nonparametric deconvolution problems

Statistics & Probability Letters, 2000

We propose two estimates of the mode of the probability density function for nonparametric deconv... more We propose two estimates of the mode of the probability density function for nonparametric deconvolution problems. In fact, we observe Y = X + , where is a measurement error with a known distribution f , and we are interesting by estimating the mode of fX the unknown probability density function of X , where Y1; : : : ; Yn are n i.i.d given observations of Y . We study the asymptotic properties of these mode estimates and the asymptotic normality of the two mode estimates is also given.