Past Extropy of 𝑘-Records

Sathar E. I. Abdul () and Jose Jitto ()
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Sathar E. I. Abdul: Department of Statistics, University of Kerala, Kariavattom, Trivandrum, India-695581
Jose Jitto: Department of Statistics, University of Kerala, Kariavattom, Trivandrum, India-695581

Stochastics and Quality Control, 2020, vol. 35, issue 1, 25-38

Abstract: Recently, A. S. Krishnan, S. M. Sunoj and N. U. Nair [Some reliability properties of extropy for residual and past lifetime random variables, J. Korean Stat. Soc. 2020, 10.1007/s42952-019-00023-x] introduced past extropy for measuring uncertainty contained in past lifetime of random variables. In the present study, we focus on the past extropy of k-records. The motivation for considering past extropy of k-records has been discussed in detail. We have also illustrated the merit of considering past extropy of k-records over past extropy of classical records and past extropy of original random sample using two real life data sets. Some important properties of past extropy of k-records are discussed in this work. We have expressed past extropy of k-records using past extropy of k-records arising from uniform distribution. The work proposes a simple estimator for past extropy of k-records as well.

Keywords: Past Extropy; Past Extropy Ordering; Monotonicity; Reverse Hazard Rate; Uniform Distribution (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1515/eqc-2019-0023

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