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

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Abstract

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 (Stat Pap 62:2603–2626, 2021). 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. The applicability of the suggested test is then demonstrated using three real data sets by observing the p-values of our test.

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Acknowledgements

The authors are thankful to the reviewers for their insightful comments, which significantly improved this manuscript.

Funding

Santosh Kumar Chaudhary would like to thank the Council Of Scientific And Industrial Research (CSIR), Government of India (File Number 09/0081(14002)/2022- EMR-I) for financial assistance.

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  1. Department of Mathematics, Indian Institute of Technology, Kharagpur, West Bengal, 721302, India

    Nitin Gupta & Santosh Kumar Chaudhary

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  1. Nitin Gupta
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  2. Santosh Kumar Chaudhary
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Correspondence to Santosh Kumar Chaudhary.

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Gupta, N., Chaudhary, S.K. Some characterizations of continuous symmetric distributions based on extropy of record values. Stat Papers 65, 291–308 (2024). https://doi.org/10.1007/s00362-022-01392-y

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