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On Some Limit Theorems Involving the Empirical Distribution Function
Published online by Cambridge University Press: 20 November 2018
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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 is
Fn(t) = (number of Xi ≤ t, 1 ≤ i ≤ n)/n.
Using a theorem of Manija [4], we proved among others the following statement in [1].
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- Copyright © Canadian Mathematical Society 1967