Varextropy of k-record values and its applications

Manoj Chacko and Annie Grace

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 14, 4540-4563

Abstract: In this article, the varextropy measure based on k-record values is considered. The expressions for the varextropy measure for the nth upper and lower k-record values have been established. Additionally, we establish the varextropy measure of residual and past lifetimes based on k-record values. We also consider the problem of estimation of the varextropy measure for a two-parameter Weibull distribution based on the upper k-record values. Maximum likelihood estimation and Bayes estimation for varextropy measure have been considered based on upper k-record values. Bayes estimators are obtained using the Markov Chain Monte Carlo (MCMC) method. A simulation study is performed to determine the performance of the estimators developed in this article. Inferential procedures developed in this article have also been illustrated using real data.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:54:y:2025:i:14:p:4540-4563

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DOI: 10.1080/03610926.2024.2423818

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