V. N. Vapnik, A. Ja. Červonenkis, “Necessary and sufficient conditions for the uniform convergence of empirical means to their true values”, Teor. Veroyatnost. i Primenen., 1981, Volume 26, Issue 3,Pages <nobr>543

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Necessary and sufficient conditions for the uniform convergence of empirical means to their true values

V. N. Vapnik, A. Ja. Červonenkis

Moscow

Abstract: The convergence of empirical means to their true values is studied. Using the properties of $\varepsilon$-entropy we find the necessary and sufficient conditions for the uniformity of this convergence.

Received: 28.07.1978