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

Jafar Ahmadi

Statistics & Probability Letters, 2020, vol. 162, issue C

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.

Keywords: Completeness; Moments; Records; Spacings; Symmetric distribution (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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DOI: 10.1016/j.spl.2020.108764

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