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Testing skew-symmetry based on extreme ranked set sampling

Author

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  • Parisa Hasanalipour

    (Ferdowsi University of Mashhad)

  • Mostafa Razmkhah

    (Ferdowsi University of Mashhad)

Abstract

The problem of testing skew-symmetry of a distribution is studied in a general model of skew distributions. Toward this end, an order statistic-based test is first introduced to test the null hypotheses of symmetry against the alternative of skew-symmetry of a distribution. Some properties of this test are also studied. Then, using the idea of ranked set sampling, some appropriate sampling schemes are used to test skew-symmetry of a given data set. The power of the proposed tests are compared numerically to determine the best ranked set sampling scheme in different situations. Further, a comparison with some of existing non-parametric tests has been done. A real data set is also used to illustrate the results of the paper. Finally, some conclusions are stated.

Suggested Citation

  • Parisa Hasanalipour & Mostafa Razmkhah, 2021. "Testing skew-symmetry based on extreme ranked set sampling," Statistical Papers, Springer, vol. 62(5), pages 2311-2332, October.
    • Handle: RePEc:spr:stpapr:v:62:y:2021:i:5:d:10.1007_s00362-020-01183-3
    DOI: 10.1007/s00362-020-01183-3
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    References listed on IDEAS

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