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Some new statistics are proposed to test the uniformity of random samples in the multidimensional unit cube 0; 1] d (d 2). These statistics are derived from the number-theoretic methods or quasi-Monte Carlo methods for measuring discrepancy of points in 0; 1] d. Under the null hypothesis that the samples are i.i.d. and have a uniform distribution in 0; 1] d(More)
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