A test for the presence of stochastic ordering under censoring: the k-sample case
Hammou El Barmi ()
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Hammou El Barmi: The City University of New York
Annals of the Institute of Statistical Mathematics, 2020, vol. 72, issue 2, No 5, 470 pages
Abstract:
Abstract In this paper, we develop an empirical likelihood-based test for the presence of stochastic ordering under censoring in the k-sample case. The proposed test statistic is formed by taking the supremum of localized empirical likelihood ratio test statistics. Its asymptotic null distribution has a simple representation in terms of a standard Brownian motion process. Through simulations, we show that it outperforms in terms of power existing methods for the same problem at all the distributions that we consider. A real-life example is used to illustrate the applicability of this new test.
Keywords: Censored data; Empirical likelihood; Order-restricted inference; Stochastic ordering (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:aistmt:v:72:y:2020:i:2:d:10.1007_s10463-018-0694-5
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DOI: 10.1007/s10463-018-0694-5
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