Empirical likelihood based tests for stochastic ordering under right censorship

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

6 Scopus Citations
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Original languageEnglish
Pages (from-to)2511-2536
Journal / PublicationElectronic Journal of Statistics
Issue number2
Publication statusPublished - 2016
Externally publishedYes


This paper develops an empirical likelihood (EL) approach to testing for stochastic ordering between two univariate distributions under right censorship. The proposed test is based on a maximally selected local EL statistic. The asymptotic null distribution is expressed in terms of a Brownian bridge. The new procedure is shown via a simulation study to have superior power to the log-rank and weighted Kaplan–Meier tests under crossing hazard alternatives. The approach is illustrated using data from a randomized clinical trial involving the treatment of severe alcoholic hepatitis.

Research Area(s)

  • Crossing survival/hazard functions, Order restricted inference, Survival analysis, Two-sample problem

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