Geodesic
On Some Limit Theorems Involving the Empirical Distribution Function
Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 739-741

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Let X1 ..., Xn be mutually independent random variables with a common continuous distribution function F (t). Let Fn(t) be the corresponding empirical distribution function, that isFn(t) = (number of Xi ≤ t, 1 ≤ i ≤ n)/n.Using a theorem of Manija [4], we proved among others the following statement in [1]. 
Csörgo, Miklós. On Some Limit Theorems Involving the Empirical Distribution Function. Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 739-741. doi: 10.4153/CMB-1967-077-0
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     author = {Cs\"orgo, Mikl\'os},
     title = {On {Some} {Limit} {Theorems} {Involving} the {Empirical} {Distribution} {Function}},
     journal = {Canadian mathematical bulletin},
     pages = {739--741},
     year = {1967},
     volume = {10},
     number = {5},
     doi = {10.4153/CMB-1967-077-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-077-0/}
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