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TESTING FOR INDEPENDENCE IN A TWO-WAY TABLE: NEW INTERPRETATIONS OF THE CHI-SQUARE STATISTIC
Classic chi-square distribution independent statistics dimension
2015/7/14
The classical chi-square test for independence in a two-way contingency
table often rejects the independence hypothesis at an extremely small signif-
icance level, particularly when the sample siz...
Abstract: We show that, for two non-trivial random variables X and Y under a sublinear expectation space, if X is independent from Y and Y is independent from X, then X and Y must be maximally distrib...
An extremal problem with applications to testing multivariate independence
boundary-value problem Green function multivariate indepen-dence asymptotic efficiency of test statistics
2011/1/18
Some problems of statistics can be reduced to extremal problems of minimiz-ing functionals of smooth functions defined on the cube [0, 1]m, m ≥ 2. In this paper, we study a class of extremal problems ...