42 citations · 267 across the 20 of their papers we have counts for
5 papers · 1 filter
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 …
A new pair of transformations and applications to generalized informational inequalities and Hausdorff moment problem
Razvan Gabriel Iagar, David Puertas-Centeno
We introduce a pair of transformations, which are mutually inverse, acting on rather general classes of probability densities in R. These transformations have the property of inter…