Ordering Awad–Varma Entropy and Applications to Some Stochastic Models

Răzvan-Cornel Sfetcu, Sorina-Cezarina Sfetcu and Vasile Preda
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Răzvan-Cornel Sfetcu: Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, Romania
Sorina-Cezarina Sfetcu: Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, Romania
Vasile Preda: Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, Romania

Mathematics, 2021, vol. 9, issue 3, 1-15

Abstract: We consider a generalization of Awad–Shannon entropy, namely Awad–Varma entropy, introduce a stochastic order on Awad–Varma residual entropy and study some properties of this order, like closure, reversed closure and preservation in some stochastic models (the proportional hazard rate model, the proportional reversed hazard rate model, the proportional odds model and the record values model).

Keywords: Awad–Shannon entropy; Varma entropy; Awad–Varma entropy; Awad–Varma residual entropy; Awad–Varma quantile entropy (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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