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NONPARAMETRIC ONE-SIDED TESTS FOR MULTIVARIATE AND RIGHT CENSORED DATA  

Park, Hyo-Il (Department of Statistics, Chong-ju University)
Na, Jong-Hwa (Department of Information and Statistics, Chungbuk National University)
Publication Information
Journal of the Korean Statistical Society / v.32, no.4, 2003 , pp. 373-384 More about this Journal
Abstract
In this paper, we formulate multivariate one-sided alternatives and propose a class of nonparametric tests for possibly right censored data. We obtain the asymptotic tail probability (or p-value) by showing that our proposed test statistics have asymptotically multivariate normal distributions. Also, we illustrate our procedure with an example and compare it with other procedures in terms of empirical powers for the bivariate case. Finally, we discuss some properties of our test.
Keywords
Nonparametric one-sided test; Gehan score; limiting tail probability; log-rank score; multivariate and right censored data;
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