In the literature, estimation of weighted extropy is infrequently considered. In this paper, some non-parametric estimators of weighted extropy are given. The validation and comparison of the estimators are implemented with the help of simulation study and data illustration. The usefulness of the estimators is demonstrated using real data sets.
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http://dx.doi.org/10.3390/e26020160 | DOI Listing |
PLoS One
January 2025
Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt.
The Weibull distribution is an important continuous distribution that is cardinal in reliability analysis and lifetime modeling. On the other hand, it has several limitations for practical applications, such as modeling lifetime scenarios with non-monotonic failure rates. However, accurate modeling of non-monotonic failure rates is essential for achieving more accurate predictions, better risk management, and informed decision-making in various domains where reliability and longevity are critical factors.
View Article and Find Full Text PDFEntropy (Basel)
February 2024
Dipartimento di Biologia, Università degli Studi di Napoli Federico II, 80126 Naples, Italy.
In the literature, estimation of weighted extropy is infrequently considered. In this paper, some non-parametric estimators of weighted extropy are given. The validation and comparison of the estimators are implemented with the help of simulation study and data illustration.
View Article and Find Full Text PDFEntropy (Basel)
October 2022
Dipartimento di Biologia, Università degli Studi di Napoli Federico II, 80126 Naples, Italy.
This paper introduces and studies a new generalization of cumulative past extropy called weighted cumulative past extropy (WCPJ) for continuous random variables. We explore the following: if the WCPJs of the last order statistic are equal for two distributions, then these two distributions will be equal. We examine some properties of the WCPJ, and a number of inequalities involving bounds for WCPJ are obtained.
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July 2022
The Higher Institute of Commercial Sciences, Al Mahalla Al Kubra 31951, Egypt.
In this article, a new one parameter survival model is proposed using the Kavya-Manoharan (KM) transformation family and the inverse length biased exponential (ILBE) distribution. Statistical properties are obtained: quantiles, moments, incomplete moments and moment generating function. Different types of entropies such as Rényi entropy, Tsallis entropy, Havrda and Charvat entropy and Arimoto entropy are computed.
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March 2022
Department of Mathematics and Statistics, McMaster University, Hamilton, ON L8S 4K1, Canada.
In this work, we introduce a generalized measure of cumulative residual entropy and study its properties. We show that several existing measures of entropy, such as cumulative residual entropy, weighted cumulative residual entropy and cumulative residual Tsallis entropy, are all special cases of this generalized cumulative residual entropy. We also propose a measure of generalized cumulative entropy, which includes cumulative entropy, weighted cumulative entropy and cumulative Tsallis entropy as special cases.
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