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Bounds for the uniform deviation of empirical measures
 Journal of Multivariate Analysis
, 1982
"... If x,)...) X, are independent identically distributed Rdvalued random vectors with probability measure p and empirical probability measure p,, and if QZ is a subset of the Bore1 sets on Rd, then we show that P{sup,, ~ ..."
Abstract

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If x,)...) X, are independent identically distributed Rdvalued random vectors with probability measure p and empirical probability measure p,, and if QZ is a subset of the Bore1 sets on Rd, then we show that P{sup,, ~