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Strongly Consistent of Kullback-Leibler Divergence Estimator and Tests for Model Selection Based on a Bias Reduced Kernel Density Estimator
Papa Ngom, Freedath Djibril Moussa, Jean de Dieu Nkurunziza
In this paper, we study the strong consistency of a bias reduced kernel density estimator and derive a strongly con- sistent Kullback-Leibler divergence (KLD) estimator. As applica…
Relationship between the Bregman divergence and beta-divergence and their Applications
Macoumba Ndourand Mactar Ndaw, Papa Ngom
The Bregman divergence have been the subject of several studies. We do not go to do an exhaustive study of its subclasses, but propose a proof that shows that the \b{eta}-divergenc…
The Alpha-Beta-Symetric Divergence and their Positive Definite Kernel
Mactar Ndaw, Macoumba Ndour, Papa Ngom
In this article we study the field of Hilbertian metrics and positive definit (pd) kernels on probability measures, they have a real interest in kernel methods. Firstly we will mak…
Discriminating between two models based on Bregman divergence in small samples
Papa Ngom, Jean de Dieu Nkurunziza, Carlos Simplice Ogouyandjou
Recently in [1, 2], Ali-Akbar Bromideh introduced the Kullback-Leibler Divergence (KLD) test statistic in discrim- inating between two models. It was found that the Ratio Minimized…