Some new findings on the survival Rényi entropy and application of COVID-19 data
Motivated by the connotation of survival Rényi entropy and its related dynamic version, we introduce them in terms of their lower bounds and mean residual life function. Moreover, we illustrate the relation between survival Rényi entropy and some of measures of information. Furthermore, the hazard r...
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2021
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oai:doaj.org-article:b1b5ef07a1ea404fa8b345e738901b3b2021-11-28T04:31:01ZSome new findings on the survival Rényi entropy and application of COVID-19 data2211-379710.1016/j.rinp.2021.104966https://doaj.org/article/b1b5ef07a1ea404fa8b345e738901b3b2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2211379721009815https://doaj.org/toc/2211-3797Motivated by the connotation of survival Rényi entropy and its related dynamic version, we introduce them in terms of their lower bounds and mean residual life function. Moreover, we illustrate the relation between survival Rényi entropy and some of measures of information. Furthermore, the hazard rate order implies ordering of dynamic survival Rényi entropy. Our models are considered a more comprehensive version of generalized order statistics and give some properties and characterization results. Finally, a non-parametric estimation of survival Rényi entropy is included based on real COVID-19 data and simulated data.Mohamed S. MohamedAmani AlmohaimeedMahmoud M. Abd El-RaoufElsevierarticleRényi entropyMean residual life functionFailure rate functionOrdered random variablesNon-parametric estimationPhysicsQC1-999ENResults in Physics, Vol 31, Iss , Pp 104966- (2021) |
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Rényi entropy Mean residual life function Failure rate function Ordered random variables Non-parametric estimation Physics QC1-999 |
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Rényi entropy Mean residual life function Failure rate function Ordered random variables Non-parametric estimation Physics QC1-999 Mohamed S. Mohamed Amani Almohaimeed Mahmoud M. Abd El-Raouf Some new findings on the survival Rényi entropy and application of COVID-19 data |
description |
Motivated by the connotation of survival Rényi entropy and its related dynamic version, we introduce them in terms of their lower bounds and mean residual life function. Moreover, we illustrate the relation between survival Rényi entropy and some of measures of information. Furthermore, the hazard rate order implies ordering of dynamic survival Rényi entropy. Our models are considered a more comprehensive version of generalized order statistics and give some properties and characterization results. Finally, a non-parametric estimation of survival Rényi entropy is included based on real COVID-19 data and simulated data. |
format |
article |
author |
Mohamed S. Mohamed Amani Almohaimeed Mahmoud M. Abd El-Raouf |
author_facet |
Mohamed S. Mohamed Amani Almohaimeed Mahmoud M. Abd El-Raouf |
author_sort |
Mohamed S. Mohamed |
title |
Some new findings on the survival Rényi entropy and application of COVID-19 data |
title_short |
Some new findings on the survival Rényi entropy and application of COVID-19 data |
title_full |
Some new findings on the survival Rényi entropy and application of COVID-19 data |
title_fullStr |
Some new findings on the survival Rényi entropy and application of COVID-19 data |
title_full_unstemmed |
Some new findings on the survival Rényi entropy and application of COVID-19 data |
title_sort |
some new findings on the survival rényi entropy and application of covid-19 data |
publisher |
Elsevier |
publishDate |
2021 |
url |
https://doaj.org/article/b1b5ef07a1ea404fa8b345e738901b3b |
work_keys_str_mv |
AT mohamedsmohamed somenewfindingsonthesurvivalrenyientropyandapplicationofcovid19data AT amanialmohaimeed somenewfindingsonthesurvivalrenyientropyandapplicationofcovid19data AT mahmoudmabdelraouf somenewfindingsonthesurvivalrenyientropyandapplicationofcovid19data |
_version_ |
1718408400657711104 |