English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We propose a modified $\chi^{\beta}$-divergence, give some of its properties,and show that this leads to the definition of a generalized Fisher information.We give generalized Cram\'er-Rao inequalities, involving this Fisherinformation, an extension of the Fisher information matrix, and arbitrary normsand power of the estimation error. In the case of a location parameter, weobtain new characterizations of the generalized $q$-Gaussians, for instance asthe distribution with a given moment that minimizes the generalized Fisherinformation. Finally we indicate how the generalized Fisher information canlead to new uncertainty relations.

Some results on a $\chi$-divergence, an~extended~Fisher information and~generalized~Cram\'er-Rao inequalities