Symmetry being tested through simultaneous application of upper and lower<i>k</i>-records in extropy

Jose, Jitto; Sathar, E. I. Abdul

doi:10.1080/00949655.2021.1975283

Cited by 5 publications

(2 citation statements)

References 26 publications

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“…Thus, one can get test statistics as an estimate of ∆ = ξ J(X ) − ξ J(X ) in testing symmetry. Empirical estimators of ξ J(X ) and ξ J(X ) can be used that have been studied by researchers, see Jose and Sathar (2022), Xiong et al(2021), Park (2020), Zardasht et al (2015), Noughabi (2015). Thorough research is needed to work on this problem.…”

Section: Discussionmentioning

confidence: 99%

“…where U X k and L X k represent kth upper record value and kth lower record value, see Arnold et al(1998) for more on upper and lower record value. Jose and Sathar (2022) showed that X is symmetric about its finite mean µ if and only if J(L n,k ) = J(U n,k ) for all k = 1, 2, 3, .... provided several characterizations of continuous symmetric distribution based on information measures of k-record.…”

Section: Introductionmentioning

confidence: 99%

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Some characterizations of continuous symmetric distributions based on extropy of record values

Gupta¹,

Chaudhary²

2022

Preprint

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Using different extropies of k record values various characterizations are provided for continuous symmetric distributions. The results are in addition to the results of Ahmadi, J. (Statistical Papers, 2021, 62:2603-2626. These include cumulative residual (past) extropy, generalised cumulative residual (past) extropy, also some common Kerridge inaccuracy measures. Using inaccuracy extropy measures, it is demonstrated that continuous symmetric distributions are characterised by an equality of information in upper and lower k-records.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%