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:: Volume 17, Issue 1 (9-2023) ::
JSS 2023, 17(1): 0-0 Back to browse issues page
Application of Extropy in Characterization of Some Continuous Distributions
Masoumeh Akbari * , Arefeh Kasiri , Kambiz Ahmadi
Abstract:   (1321 Views)
In this paper, quantile-based dynamic cumulative residual and failure extropy measures are introduced. For a presentation of their applications, first, by using the simulation technique, a suitable estimator is selected to estimate these measures from among different estimators. Then, based on the equality of two extropy measures in terms of order statistics, symmetric continuous distributions are characterized. In this regard, a measure of deviation from symmetry is introduced and how it is applied is expressed in a real example. Also, among the common continuous distributions, the generalized Pareto distribution and as a result the exponential distribution are characterized, and based on the obtained results, the exponentiality criterion  of a distribution is proposed.
Keywords: Extropy, Non-parametric estimation, Symmetric distribution, Exponential distribution, Characterization.
Full-Text [PDF 284 kb]   (1480 Downloads)    
Type of Study: Applied | Subject: Theoritical Statistics
Received: 2023/02/27 | Accepted: 2023/09/1 | Published: 2023/07/11
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Akbari M, Kasiri A, Ahmadi K. Application of Extropy in Characterization of Some Continuous Distributions. JSS 2023; 17 (1)
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Volume 17, Issue 1 (9-2023) Back to browse issues page
مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences

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