Rachid Sabre - Profile on Academia.edu (original) (raw)
Papers by Rachid Sabre
Evolutionary Spectrum for Random Fields and missing observations
HAL (Le Centre pour la Communication Scientifique Directe), 2012
International audienc
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.
Mixed Spectra Estimation for Stable P-adic Random Fields
International Journal of Signal Processing Systems
Cross-validation method for bivariate measure with certain mixture
Journal of Physics: Conference Series, 2016
Planification expérimentale en agroalimentaire
Techniques De L Ingenieur Agroalimentaire, 2006
Discrete estimation of spectral density for symmetric stable process
Statistica, 2000
Plans d'expériences: Méthode de Taguchi
Techniques De L Ingenieur Agroalimentaire, 2007
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
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
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 ...
Tests and asymptotic normality for mixed bivariate measure
Statistica, 2010
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.
The optimal choice of the spectral bandwidth for a random field
Traitement du Signal
Le choix optimal de la largeur de fenêtre spectrale pour un champ aléatoire à temps discret
Evolutionary Spectrum for Random Field and Missing Observations
Lecture Notes in Computer Science, 2012
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.
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.
Evolutionary Spectrum for Random Fields and missing observations
HAL (Le Centre pour la Communication Scientifique Directe), 2012
International audienc
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.
Mixed Spectra Estimation for Stable P-adic Random Fields
International Journal of Signal Processing Systems
Cross-validation method for bivariate measure with certain mixture
Journal of Physics: Conference Series, 2016
Planification expérimentale en agroalimentaire
Techniques De L Ingenieur Agroalimentaire, 2006
Discrete estimation of spectral density for symmetric stable process
Statistica, 2000
Plans d'expériences: Méthode de Taguchi
Techniques De L Ingenieur Agroalimentaire, 2007
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
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
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 ...
Tests and asymptotic normality for mixed bivariate measure
Statistica, 2010
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.
The optimal choice of the spectral bandwidth for a random field
Traitement du Signal
Le choix optimal de la largeur de fenêtre spectrale pour un champ aléatoire à temps discret
Evolutionary Spectrum for Random Field and Missing Observations
Lecture Notes in Computer Science, 2012
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.
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.