55 citations · 248 across the 15 of their papers we have counts for
4 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…
A simple probabilistic construction yielding generalized entropies and divergences, escort distributions and q-Gaussians
J. -F. Bercher
We give a simple probabilistic description of a transition between two states which leads to a generalized escort distribution. When the parameter of the distribution varies, it de…
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…