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A class of tests for the dispersive-equivalence of two probability distributions. (English) Zbl 0760.62042

Summary: Based on independent random samples from two absolutely continuous distributions, asymptotically distribution-free and consistent tests are proposed for testing that two distributions are identical except for an unknown location parameter against the alternative that one is dispersive ordered with respect to the other. These tests are based on weighted combinations of ratios of spacings.

MSC:

62G10 Nonparametric hypothesis testing
62G30 Order statistics; empirical distribution functions
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