Open AccessSome New Results of Residual and Past Entropy Measures
Author(s) -
Abdul Basit,
Zafar Iqbal,
En-Bing Lin
Publication year - 2021
Publication title -
asian journal of probability and statistics
Language(s) - English
Resource type - Journals
ISSN - 2582-0230
DOI - 10.9734/ajpas/2021/v11i330268
Subject(s) - residual entropy , mathematics , residual , entropy (arrow of time) , exponential function , statistical physics , maximum entropy probability distribution , maximum entropy thermodynamics , principle of maximum entropy , statistics , binary entropy function , thermodynamics , mathematical analysis , configuration entropy , physics , algorithm
In this paper, two new generalized entropies have been introduced with their respective properties. The results of these entropies have been verified for the exponential and weighted exponential distributions. These two entropies produce the results in the form of simple entropy, generalized entropy, residual entropy, cumulative entropy and mixtures of all these entropies. Some characteristics of residual & past entropy have been derived and special cases have also been obtained. These cases indicate that new generalized entropies are more comprehensive and useful. The main advantage of this study is to derive different types of generalization of entropies using the different parameter values of α and β.