G-96-52
The Asymptotic Distribution of Diaphony in One Dimension
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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 Cramér-von Mises criterion.
Paru en octobre 1996 , 7 pages