Some New Results of Residual and Past Entropy Measures
Abdul Basit, Zafar Iqbal, En-Bing Lin
Asian Journal of Probability and Statistics · pp. 21–33 · Published 25 Mar 2021
10.9734/ajpas/2021/v11i330268Abstract
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.
Cited by 1
Dmitri Finkelshtein, Anatoliy Malyarenko, Yuliya Mishura · Methodology and Computing in Applied Probability · 2025
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