49 citations · 128 across the 31 of their papers we have counts for
36 papers
A Unifying Framework for Some Directed Distances in Statistics
Michel Broniatowski, Wolfgang Stummer
Density-based directed distances -- particularly known as divergences -- between probability distributions are widely used in statistics as well as in the adjacent research fields…
A precise bare simulation approach to the minimization of some distances. Foundations
Michel Broniatowski, Wolfgang Stummer
In information theory -- as well as in the adjacent fields of statistics, machine learning, artificial intelligence, signal processing and pattern recognition -- many flexibilizati…
Continuous indetermination and average likelihood minimization
Pierre Bertrand, Michel Broniatowski, Jean-François Marcotorchino
The authors transpose a discrete notion of indetermination coupling in the case of continuous probabilities. They show that this coupling, expressed on densities, cannot be capture…
A constructive method to minimize couple matchings
Pierre Bertrand, Michel Broniatowski, Jean-François Marcotorchino
This paper provides constructive procedures for the indeterminacy coupling between two marginal distributions, an alternative to independence coupling. It also introduces a drawing…
Minimum divergence estimators, Maximum Likelihood and the generalized bootstrap
Michel Broniatowski
This paper is an attempt to set a justification for making use of some dicrepancy indexes, starting from the classical Maximum Likelihood definition, and adapting the corresponding…
Independence versus Indetermination: basis of two canonical clustering criteria
Pierre Bertrand, Michel Broniatowski, Jean-François Marcotorchino
This paper aims at comparing two coupling approaches as basic layers for building clustering criteria, suited for modularizing and clustering very large networks. We briefly use "o…