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Empirical likelihood ratio test for equality of k medians in censored data

Author

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  • Naik-Nimbalkar, U. V.
  • Rajarshi, M. B.

Abstract

Most of the existing tests for equality of k medians actually assume that under the null hypothesis, the underlying k survival functions are identical. We propose a test which is based on empirical profile likelihood for median in censored data. This test does not require such an assumption. It is shown that under the standard censoring mechanism, the asymptotic distribution of the test statistic is chi-squared with k - 1 degrees of freedom, when the null hypothesis holds.

Suggested Citation

  • Naik-Nimbalkar, U. V. & Rajarshi, M. B., 1997. "Empirical likelihood ratio test for equality of k medians in censored data," Statistics & Probability Letters, Elsevier, vol. 34(3), pages 267-273, June.
    • Handle: RePEc:eee:stapro:v:34:y:1997:i:3:p:267-273
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    Cited by:

    1. Einmahl, J.H.J. & McKeague, I.W., 1999. "Confidence tubes for multiple quantile plots via empirical likelihood," Other publications TiSEM b64493f8-1c01-40fd-b16d-7, Tilburg University, School of Economics and Management.
    2. Zhou, Mai & Zhu, Shihong, 2015. "Empirical likelihood confidence band for the difference of survival functions under proportional hazards model," Statistics & Probability Letters, Elsevier, vol. 107(C), pages 228-235.

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