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The Cucconi statistic for Type-I censored data

Author

Listed:
  • Takuya Nishino

    (Tokyo University of Science)

  • Hidetoshi Murakami

    (Tokyo University of Science)

Abstract

Various nonparametric test statistics have been proposed for censored data. Two-sample nonparametric testing plays an important role in biometry. While most of two-sample nonparametric tests intend to detect a shift in location or in scale, the two-sample Cucconi test statistic is suitable for the joint comparison of both parameters. The Cucconi test statistic is extended to the left- and right-censored data based on the theory of ties. We derive the limiting distribution of the Cucconi test statistic for censored data. We conduct simulation studies to investigate the convergence of the Cucconi test statistic to the limiting distribution and the power of the proposed statistic with various population distributions. The method is illustrated with an analysis using real data.

Suggested Citation

  • Takuya Nishino & Hidetoshi Murakami, 2019. "The Cucconi statistic for Type-I censored data," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(8), pages 903-929, November.
    • Handle: RePEc:spr:metrik:v:82:y:2019:i:8:d:10.1007_s00184-019-00712-x
    DOI: 10.1007/s00184-019-00712-x
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    References listed on IDEAS

    as
    1. Marco Marozzi, 2014. "The multisample Cucconi test," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 23(2), pages 209-227, June.
    2. Murakami, Hidetoshi, 2007. "Lepage type statistic based on the modified Baumgartner statistic," Computational Statistics & Data Analysis, Elsevier, vol. 51(10), pages 5061-5067, June.
    Full references (including those not matched with items on IDEAS)

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