Some new findings on the survival Rényi entropy and application of COVID-19 data

Mohamed S Mohamed; Amani Almohaimeed; Mahmoud M Abd El-Raouf

doi:10.1016/j.rinp.2021.104966

Some new findings on the survival Rényi entropy and application of COVID-19 data

Results Phys. 2021 Dec:31:104966. doi: 10.1016/j.rinp.2021.104966. Epub 2021 Nov 23.

Authors

Mohamed S Mohamed¹, Amani Almohaimeed², Mahmoud M Abd El-Raouf³

Affiliations

¹ Department of Mathematics, Faculty of Education, Ain Shams University, Cairo 11341, Egypt.
² Department of Mathematics, College of Science and Arts, Qassim University, Oyoon Aljawa, Saudi Arabia.
³ Basic and Applied Science Institute, Arab Academy for Science, Technology and Maritime Transport (AASTMT), Alexandria, Egypt.

Abstract

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.

Keywords: 60E05; 62E10; 62P99; 94A15; Failure rate function; Mean residual life function; Non-parametric estimation; Ordered random variables; Rényi entropy.