The Asymptotic Distribution of Diaphony in One Dimension
نویسنده
چکیده
We derive the asymptotic distribution of the diaphony of n independent random variables uniformly distributed on 0; 1], describe ways to approximate its distribution function, and show an interesting relationship between this distribution, the two-sided Kolmogorov{Smirnov distribution , and the asymptotic law of the Cram er{von Mises criterion.
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