Testing skew-symmetry based on extreme ranked set sampling

Parisa Hasanalipour and Mostafa Razmkhah ()
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Parisa Hasanalipour: Ferdowsi University of Mashhad
Mostafa Razmkhah: Ferdowsi University of Mashhad

Statistical Papers, 2021, vol. 62, issue 5, No 12, 2332 pages

Abstract: 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.

Keywords: Extreme ranked set sampling; Likelihood ratio test; Order statistics; Skew distribution; Primary 62F03; Secondary 62D05 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s00362-020-01183-3

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