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A bootstrap test for symmetry based on ranked set samples

By Reza Drikvandi, Reza Modarres and Abdullah H. Jalilian


To test the hypothesis of symmetry about an unknown median we propose the maximum of a partial sum process based on ranked set samples. We discuss the properties of the test statistic and investigate a modified bootstrap ranked set sample bootstrap procedure to obtain its sampling distribution. The power of the new test statistic is compared with two existing tests in a simulation study.Ranked set sampling Symmetry Bootstrap Simulation

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