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

@article{Gupta2022SomeCO,
  title={Some characterizations of continuous symmetric distributions based on extropy of record values},
  author={Nitin Gupta and Santosh Chaudhary},
  journal={Statistical Papers},
  year={2022}
}
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… 
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In this paper, we first present the symmetric property of the extropy of record values and some characterisations of exponential distributions. Then a new test for symmetry of the continuous…

Weighted extropies and past extropy of order statistics and k-record values

Abstract In addition to entropy, extropy - the complementary dual of entropy has also gained importance as a measure of information in many areas. Extropy of order statistics, record values and mixed…

Characterization of continuous symmetric distributions using information measures of records

  • J. Ahmadi
  • Mathematics, Computer Science
    Statistical Papers
  • 2020
It is proved that the equality of information in upper and lower k-records is a characteristic property of continuous symmetric distributions.

Characterization results for symmetric continuous distributions based on the properties of k-records and spacings

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