Geodesic
Asymptotic Analysis of the Distribution of the Maximum Deviation in the Bernoulli Scheme
Teoriâ veroâtnostej i ee primeneniâ, Tome 4 (1959) no. 4, pp. 369-397

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Methods are given for constructing asymptotic expansions for the maximum deviation distribution in the Bernoulli scheme and in its limiting case, the Poisson scheme. The paper contains a review of results on the asymptoticity of distributions of the maximum deviations between a theoretical and an empirical distribution function, and also between two empirical distribution functions. 
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     author = {V. S. Korolyuk},
     title = {Asymptotic {Analysis} of the {Distribution} of the {Maximum} {Deviation} in the {Bernoulli} {Scheme}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     number = {4},
     year = {1959},
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V. S. Korolyuk. Asymptotic Analysis of the Distribution of the Maximum Deviation in the Bernoulli Scheme. Teoriâ veroâtnostej i ee primeneniâ, Tome 4 (1959) no. 4, pp. 369-397. http://geodesic.mathdoc.fr/item/TVP_1959_4_4_a0/