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5 papers · 1 filter
On multidimensional generalized Cramér-Rao inequalities, uncertainty relations and characterizations of generalized -Gaussian distributions
J. -F. Bercher
In the present work, we show how the generalized Cramér-Rao inequality for the estimation of a parameter, presented in a recent paper, can be extended to the mutidimensional case w…
On generalized Cramér-Rao inequalities, generalized Fisher informations and characterizations of generalized q-Gaussian distributions
J. -F. Bercher
This paper deals with Cramér-Rao inequalities in the context of nonextensive statistics and in estimation theory. It gives characterizations of generalized q-Gaussian distributions…
Geometric descriptions of entangled states by auxiliaries varieties
Frédéric Holweck, Jean-Gabriel Luque, Jean-Yves Thibon
The aim of the paper is to propose geometric descriptions of multipartite entangled states using algebraic geometry. In the context of this paper, geometric means each stratum of t…
On a (β,q)-generalized Fisher information and inequalities involving q-Gaussian distributions
J. -F. Bercher
In the present paper, we would like to draw attention to a possible generalized Fisher information that fits well in the formalism of nonextensive thermostatistics. This generalize…
An amended MaxEnt formulation for deriving Tsallis factors, and associated issues
Jean-François Bercher
An amended MaxEnt formulation for systems displaced from the conventional MaxEnt equilibrium is proposed. This formulation involves the minimization of the Kullback-Leibler diverge…