Results 21 to 30 of about 256 (111)
Fractal and FractionalThe complementary dual of entropy has received significant attention in the literature. Due to the emergence of many generalizations and extensions of entropy, the need to generalize the complementary dual of uncertainty arose.
Mohamed Said Mohamed, Hanan H. Sakr
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Further results involving residual and past extropy with their applications
Statistics & Probability LettersIn this paper we focus on the study of the monotonicity properties of the residual and the past extropy as well as on some characterization problems. We then apply the derived results to analyze further stochastic aspects of order statistics, coherent systems, and record values.
Kayid, Mohamed
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, 2022 The extropy is a measure of information introduced as dual to entropy. It is a shift-independent information measure just as the entropy. We introduce here the notion of weighted extropy, a shift-dependent information measure which gives higher weights ...
Balakrishnan N., Buono F., Longobardi M.
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Excess Lifetime Extropy of Order Statistics
Axioms, 2023 This paper explores the concept of residual extropy as an uncertainty measure for order statistics. We specifically derive the residual extropy for the ith-order statistic and establish its relationship with the residual extropy of the ith-order ...
Mansour Shrahili, Mohamed Kayid
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Fractional deng entropy and extropy and some applications [PDF]
, 2021 Deng entropy and extropy are two measures useful in the Dempster–Shafer evidence theory (DST) to study uncertainty, following the idea that extropy is the dual concept of entropy.
Buono F. +3 more
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Analysis of information measures using generalized type-Ⅰ hybrid censored data
AIMS Mathematics, 2023 An entropy measure of uncertainty has a complementary dual function called extropy. In the last six years, this measure of randomness has gotten a lot of attention. It cannot, however, be applied to systems that have survived for some time.
Baria A. Helmy +4 more
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Compressive sensing using extropy measures of ranked set sampling [PDF]
, 2023 The aim of this paper is to consider the extropy measure of uncertainty proposed by Lad, Sanfilippo and Agrò for the problem of compressive sensing. For this purpose, two sampling designs, i.e., simple random sampling (SRS) and a modified version of ...
Buono F. +4 more
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Non-parametric estimation of cumulative (residual) extropy
Statistics & Probability Letters, 2022 Extropy and its properties are explored to quantify the uncertainty. In this paper, we obtain alternative expressions for cumulative residual extropy and negative cumulative extropy. We obtain simple estimators of cumulative (residual) extropy. Asymptotic properties of the proposed estimators are studied.
Sudheesh K. Kattumannil, Sreedevi E.P.
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Some Reliability Properties of Extropy and its Related Measures Using Quantile Function
Statistica, 2021 Extropy is a recent addition to the family of information measures as a complementary dual of Shannon entropy, to measure the uncertainty contained in a probability distribution of a random variable.
Aswathy Sree Krishnan +2 more
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On cumulative residual (past) extropy of extreme order statistics [PDF]
Communications in Statistics - Theory and Methods, 2021 19 pages, 2 ...
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