Weighted Relative Group Entropies and Associated Fisher Metrics.

Iulia-Elena Hirica, Cristina-Liliana Pripoae, Gabriel-Teodor Pripoae, Vasile Preda

Open access · goldAbstract read

In one paragraph

Article in Entropy (Basel, Switzerland), 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it

0cells of the map it votes in

1citing papers in PubMed

0.9field-weighted citation impact, top 29% of its field

1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

1 citing paper in PubMed, 7 citations in OpenAlex.

Some Information Measures Properties of the GOS-Concomitants from the FGM Family.Entropy (Basel, Switzerland) · 2022
Article

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors at 3 institutions in 4 countries.

Iulia-Elena HiricaFaculty of Mathematics and Computer Science, University of Bucharest, Academiei 14, 010014 Bucharest, Romania.ORCID 0000-0002-1339-995X

Cristina-Liliana PripoaeDepartment of Applied Mathematics, Bucharest University of Economic Studies, Piata Romana 6, 010374 Bucharest, Romania.ORCID 0000-0003-3059-9707

Gabriel-Teodor PripoaeFaculty of Mathematics and Computer Science, University of Bucharest, Academiei 14, 010014 Bucharest, Romania.ORCID 0000-0002-3315-3762

Vasile PredaFaculty of Mathematics and Computer Science, University of Bucharest, Academiei 14, 010014 Bucharest, Romania.ORCID 0000-0003-2115-3113

University of Bucharest · ROBucharest University of Economic Studies · RONational Institute of Economic Research · SE

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

A large family of new α-weighted group entropy functionals is defined and associated Fisher-like metrics are considered. All these notions are well-suited semi-Riemannian tools for the geometrization of entropy-related statistical models, where they may act as sensitive controlling invariants. The main result of the paper establishes a link between such a metric and a canonical one. A sufficient condition is found, in order that the two metrics be conformal (or homothetic). In particular, we recover a recent result, established for α=1 and for non-weighted relative group entropies. Our conformality condition is "universal", in the sense that it does not depend on the group exponential.

Indexed as

Fisher metricgroup Fisher metricrelative group entropyweighted entropyα-weighted group entropy

Identifiers

PMID35052146

DOI10.3390/e24010120

PMCPMC8775049

OpenAlexW4205751042

What OpenQuestion holds

Textmetadata

LicenceCC BY

Read underepoch 390

Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.