Application of Extropy in Characterization of Some Continuous Distributions

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Akbari M.; Kasiri a.; AHMADI K.

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Journal Paper

Paper Information

Journal: JOURNAL OF STATISTICAL SCIENCES Year:2023 | Volume:17 | Issue:1 Page(s): 1-19

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Information Journal Paper

Title

Application of Extropy in Characterization of Some Continuous Distributions

Author(s)

Akbari M. | Kasiri a. | AHMADI K. | Issue Writer Certificate

Keywords

Extropy

Non-parametric estimation

Symmetric distribution

Exponential distribution

Characterization

Abstract

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.

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