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Tzee-Ming Huang 
2010-03-26 
16:20 - 17:10
402 , Freshman Classroom Building

In this paper, the maximal nonlinear conditional correlation of two random vectors X and Y given another random vector Z, denoted by is defined as a measure of conditional association, which satisfies certain desirable properties. When Z is continuous, a test for testing the conditional independence of X and Y given Z is constructed based on the estimator of a weighted average of the form , where is the probability density function of Z and the are some points in the range of Z. Under some conditions, it is shown that the test statistic is asymptotically normal under conditional independence, and the test is consistent.