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About: Hoeffding's independence test     Goto   Sponge   NotDistinct   Permalink

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In statistics, Hoeffding's test of independence, named after Wassily Hoeffding, is a test based on the population measure of deviation from independence where is the joint distribution function of two random variables, and and are their marginal distribution functions.Hoeffding derived an unbiased estimator of that can be used to test for independence, and is consistent for any continuous alternative. The test should only be applied to data drawn from a continuous distribution, since has a defect for discontinuous , namely that it is not necessarily zero when . This drawback can be overcome by taking an integration with respect to . This modified measure is known as Blum–Kiefer–Rosenblatt coefficient.