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Nonnull distributions of two test criteria for independence under local alternatives
Authors:Hisao Nagao
Abstract:For testing the independence of q-sets in a p-variate normal population, the asymptotic distributions of the likelihood ratio test, and the test proposed by the author under local alternatives are derived in terms of noncentral χ2 variates.
Keywords:Test of independence  likelihood ratio criterion and trace criterion  asymptotic expansion  distribution function
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