9 papers
New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types
Razvan Gabriel Iagar, David Puertas-Centeno
Several new and sharp informational inequalities are derived as a byproduct of Stam-like and moment-entropy-like inequalities in the relative framework and a recently established i…
Entropies, cross-entropies and Rényi divergence: sharp three-term inequalities for probability density functions
Razvan Gabriel Iagar, David Puertas-Centeno
A new sharp inequality featuring the differential Rényi entropy, the Rényi divergence and the Rényi cross-entropy of a pair of probability density functions is established. The…
A new group of transformations related to the Kullback-Leibler and Rényi divergences and universal classes of monotone measures of statistical complexity
Razvan Gabriel Iagar, David Puertas-Centeno, Elio V. Toranzo
In this work we introduce a family of transformations, named \textit{divergence transformations}, interpolating between any pair of probability density functions sharing the same s…
Sundman-like transformations and the NRT nonlinear Schrödinger equation
P. R. Gordoa, A. Pickering, D. Puertas-Centeno +1
We present a new generalization of the well-known power-type Sundman transformation, involving not only powers of the function but also of its derivative, along with its inverse. O…
Generalized informational functionals and new monotone measures of statistical complexity
Razvan Gabriel Iagar, David Puertas-Centeno
In this paper we introduce a biparametric family of transformations which can be seen as an extension of the so-called up and down transformations. This new class of transformation…
Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities
Razvan Gabriel Iagar, David Puertas-Centeno
We introduce new classes of informational functionals, called \emph{upper moments}, respectively \emph{down-Fisher measures}, obtained by applying classical functionals such as …