Statistical Papers, ( ISI ), Volume (62), No (5), Year (2021-10) , Pages (2311-2332)

Title : ( Testing skew-symmetry based on extreme ranked set sampling )

Authors: parisa hasanalipour , Mostafa Razmkhah ,

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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.


, Extreme ranked set sampling, Likelihood ratio test, Order statistics, Skew distribution
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author = {Hasanalipour, Parisa and Razmkhah, Mostafa},
title = {Testing skew-symmetry based on extreme ranked set sampling},
journal = {Statistical Papers},
year = {2021},
volume = {62},
number = {5},
month = {October},
issn = {0932-5026},
pages = {2311--2332},
numpages = {21},
keywords = {Extreme ranked set sampling; Likelihood ratio test; Order statistics; Skew distribution},


%0 Journal Article
%T Testing skew-symmetry based on extreme ranked set sampling
%A Hasanalipour, Parisa
%A Razmkhah, Mostafa
%J Statistical Papers
%@ 0932-5026
%D 2021