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

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  • Ahmadi, Jafar

Abstract

It is shown that the equality in distributions of upper and lower k-records from a population with continuous distribution is a characteristic property of symmetric continuous distributions. Some characterization results for symmetric continuous distributions are obtained using moments properties of functions of upper and lower k-records. Also, spacings of k-records are considered and characterizations using equidistribution of spacing of upper and lower k-records are presented. Moreover, characterizations of symmetric distributions based on the moments’ equality of spacing of upper and lower k-records are established.

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  • Ahmadi, Jafar, 2020. "Characterization results for symmetric continuous distributions based on the properties of k-records and spacings," Statistics & Probability Letters, Elsevier, vol. 162(C).
    • Handle: RePEc:eee:stapro:v:162:y:2020:i:c:s0167715220300675
    DOI: 10.1016/j.spl.2020.108764
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    References listed on IDEAS

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    1. Ahmadi, J. & Fashandi, M., 2019. "Characterization of symmetric distributions based on some information measures properties of order statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 141-152.
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    7. Balakrishnan, Narayanaswamy & Selvitella, Alessandro, 2017. "Symmetry of a distribution via symmetry of order statistics," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 367-372.
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    1. Jafar Ahmadi, 2021. "Characterization of continuous symmetric distributions using information measures of records," Statistical Papers, Springer, vol. 62(6), pages 2603-2626, December.

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