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Moments of order statistics of the standard two-sided power distribution

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  • Çağatay Çetinkaya
  • Ali İ. Genç

Abstract

The standard two-sided power distribution is a flexible distribution having uniform, power function and triangular as subdistributions, and it is a reasonable alternative to the Laplace distribution in some cases. In this work, computationally efficient expressions for moments of order statistics, expressions for L-moments, and asymptotic results for sample extrema are derived. Then a simulation study is performed for the location-scale estimation problem of a small data set by considering the maximum likelihood estimation method and the best linear unbiased estimation method based on the moments of order statistics.

Suggested Citation

  • Çağatay Çetinkaya & Ali İ. Genç, 2018. "Moments of order statistics of the standard two-sided power distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(17), pages 4311-4328, September.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:17:p:4311-4328
    DOI: 10.1080/03610926.2017.1373818
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    Cited by:

    1. Abdelaziz Alsubie & Zuber Akhter & Haseeb Athar & Mahfooz Alam & Abd EL-Baset A. Ahmad & Gauss M. Cordeiro & Ahmed Z. Afify, 2021. "On the Omega Distribution: Some Properties and Estimation," Mathematics, MDPI, vol. 9(6), pages 1-21, March.

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