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Empirical phi-divergence test-statistics have demostrated to be a usefultechnique for the simple null hypothesis to improve the finite sample behaviourof the classical likelihood ratio test-statistic, as well asfor modelmisspecification problems, in both cases for the one population problem. Thispaper introduces this methodology for two sample problems. A simulation studyillustrates situations in which the new test-statistics become a competitivetool with respect to the classical z-test and the likelihood ratiotest-statistic.

Empirical phi-divergence test-statistics for the equalityof means of two populations