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View article: Muscle architecture is associated with muscle fat replacement in <scp>Duchenne</scp> and <scp>Becker</scp> muscular dystrophies
Muscle architecture is associated with muscle fat replacement in <span>Duchenne</span> and <span>Becker</span> muscular dystrophies Open
Introduction/Aims Duchenne and Becker muscular dystrophies (DMD and BMD, respectively) are characterized by fat replacement of different skeletal muscles in a specific temporal order. Given the structural role of dystrophin in skeletal mus…
View article: Simultaneous confidence intervals for ranks using the partitioning principle
Simultaneous confidence intervals for ranks using the partitioning principle Open
We consider the problem of constructing simultaneous confidence intervals (CIs) for the ranks of n means based on their estimates together with the (known) standard errors of those estimates. We present a generic method based on the partit…
View article: Simultaneous confidence intervals for ranks with application to ranking institutions
Simultaneous confidence intervals for ranks with application to ranking institutions Open
When a ranking of institutions such as medical centers or universities is based on a numerical measure of performance provided with a standard error, confidence intervals (CIs) should be calculated to assess the uncertainty of these ranks.…
View article: Adaptive critical value for constrained likelihood ratio testing
Adaptive critical value for constrained likelihood ratio testing Open
Summary We present a new general method for constrained likelihood ratio testing which, when few constraints are violated, improves upon the existing approach in the literature that compares the likelihood ratio with the quantile of a mixt…
View article: Adaptive critical value for constrained likelihood ratio testing
Adaptive critical value for constrained likelihood ratio testing Open
We present a new general method for constrained likelihood ratio testing which, when few constraints are violated, improves upon the existing approach in the literature that compares the likelihood ratio with the quantile of a mixture of c…
View article: A two‐step proximal‐point algorithm for the calculus of divergence‐based estimators in finite mixture models
A two‐step proximal‐point algorithm for the calculus of divergence‐based estimators in finite mixture models Open
Estimators derived from the expectation‐maximization (EM) algorithm are not robust since they are based on the maximization of the likelihood function. We propose an iterative proximal‐point algorithm based on the EM algorithm to minimize …
View article: Simultaneous Confidence Intervals for Ranks With Application to Ranking Institutions
Simultaneous Confidence Intervals for Ranks With Application to Ranking Institutions Open
When a ranking of institutions such as medical centers or universities is based on an indicator provided with a standard error, confidence intervals should be calculated to assess the quality of these ranks. We consider the problem of cons…
View article: Adaptive Critical Value for Constrained Likelihood Ratio Testing
Adaptive Critical Value for Constrained Likelihood Ratio Testing Open
We present a new way of testing ordered hypotheses against all alternatives which overpowers the classical approach both in simplicity and statistical power. Our new method tests the constrained likelihood ratio statistic against the quant…
View article: Simultaneous confidence sets for ranks using the partitioning principle - Technical report
Simultaneous confidence sets for ranks using the partitioning principle - Technical report Open
Ranking institutions such as medical centers or universities is based on an indicator accompanied with an uncertainty measure such as a standard deviation, and confidence intervals should be calculated to assess the quality of these ranks.…
View article: Simultaneous confidence sets for ranks using the partitioning principle - Technical report
Simultaneous confidence sets for ranks using the partitioning principle - Technical report Open
Ranking institutions such as medical centers or universities is based on an indicator accompanied with an uncertainty measure such as a standard deviation, and confidence intervals should be calculated to assess the quality of these ranks.…
View article: An improvement of Tukey's HSD with application to ranking institutions
An improvement of Tukey's HSD with application to ranking institutions Open
When a ranking of institutions such as medical centers or universities is based on an indicator provided with a standard error, confidence intervals should be calculated to assess the quality of these ranks. We consider the problem of cons…
View article: Simultaneous confidence intervlals for the ranks using the partitioing principle
Simultaneous confidence intervlals for the ranks using the partitioing principle Open
View article: Parametric and semiparametric estimation of mixture models using phi-divergences
Parametric and semiparametric estimation of mixture models using phi-divergences Open
View article: Estimation of parametric and semiparametric estimation mixture models using phi-divergences
Estimation of parametric and semiparametric estimation mixture models using phi-divergences Open
The study of mixture models constitutes a large domain of research in statistics. In the first part of this work, we present phi-divergences and the existing methods which produce robust estimators. We are more particularly interested in t…
View article: A Proximal Point Algorithm for Minimum Divergence Estimators with Application to Mixture Models
A Proximal Point Algorithm for Minimum Divergence Estimators with Application to Mixture Models Open
Estimators derived from a divergence criterion such as φ - divergences are generally more robust than the maximum likelihood ones. We are interested in particular in the so-called minimum dual φ–divergence estimator (MDφDE), an estimator b…
View article: Two Iterative Proximal-Point Algorithms for the Calculus of Divergence-based Estimators with Application to Mixture Models
Two Iterative Proximal-Point Algorithms for the Calculus of Divergence-based Estimators with Application to Mixture Models Open
Estimators derived from an EM algorithm are not robust since they are based on the maximization of the likelihood function. We propose a proximal-point algorithm based on the EM algorithm which aim to minimize a divergence criterion. Resul…
View article: A Proximal Point Algorithm for Minimum Divergence Estimators with Application to Mixture Models
A Proximal Point Algorithm for Minimum Divergence Estimators with Application to Mixture Models Open
Estimators derived from a divergence criterion such as $\varphi-$divergences are generally more robust than the maximum likelihood ones. We are interested in particular in the so-called MD$\varphi$DE, an estimator built using a dual repres…
View article: A Proximal Point Algorithm for Minimum Divergence Estimators with Application to Mixture Models
A Proximal Point Algorithm for Minimum Divergence Estimators with Application to Mixture Models Open
Estimators derived from a divergence criterion such as $φ-$divergences are generally more robust than the maximum likelihood ones. We are interested in particular in the so-called MD$φ$DE, an estimator built using a dual representation of …
View article: Towards a better understanding of the dual representation of phi divergences
Towards a better understanding of the dual representation of phi divergences Open
The aim of this paper is to study different estimation procedures based on $φ-$divergences. The dual representation of $φ-$divergences based on the Fenchel-Legendre duality is the main interest of this study. It provides a way to estimate …
View article: Towards a better understanding of the dual representation of phi divergences
Towards a better understanding of the dual representation of phi divergences Open
The aim of this paper is to study different estimation procedures based on $\varphi-$divergences. The dual representation of $\varphi-$divergences based on the Fenchel-Legendre duality is the main interest of this study. It provides a way …
View article: Lecture notes on data analysis
Lecture notes on data analysis Open