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A bootstrap test for symmetry based on ranked set samples

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  • Drikvandi, Reza
  • Modarres, Reza
  • Jalilian, Abdullah H.
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    Abstract

    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.

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    Bibliographic Info

    Article provided by Elsevier in its journal Computational Statistics & Data Analysis.

    Volume (Year): 55 (2011)
    Issue (Month): 4 (April)
    Pages: 1807-1814

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    Handle: RePEc:eee:csdana:v:55:y:2011:i:4:p:1807-1814

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    Web page: http://www.elsevier.com/locate/csda

    Related research

    Keywords: Ranked set sampling Symmetry Bootstrap Simulation;

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    1. Modarres, Reza & Gastwirth, Joseph L., 1996. "A modified runs test for symmetry," Statistics & Probability Letters, Elsevier, vol. 31(2), pages 107-112, December.
    2. Modarres, Reza & Hui, Terrence P. & Zheng, Gang, 2006. "Resampling methods for ranked set samples," Computational Statistics & Data Analysis, Elsevier, vol. 51(2), pages 1039-1050, November.
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