A New Proof of Some Results of Rényi and the Asymptotic Distribution of the Range of his Kolmogorov-Smirnov Type Random Variables
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 550-558

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Let X1 X2, ... , Xn be mutually independent random variables with a common continuous distribution function F(t). Let Fn(t) be the corresponding empirical distribution function, that is Fn(t) = (number of Xi ⩽ t, 1 ⩽ i ⩽ n)/n.
Csörgö, Miklós. A New Proof of Some Results of Rényi and the Asymptotic Distribution of the Range of his Kolmogorov-Smirnov Type Random Variables. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 550-558. doi: 10.4153/CJM-1967-048-7
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