Some general results concerning the asymptotic behavior of the value of the empirical distribution function at a random point (e.g. the sample mean) are given. These results are then used to obtain: ...

In [14], Sanov proved that if FN is the empirical cumulative distribution function (cdf) of a sample drawn from a population whose true cdf is F0 and Ω is a set of cdf's which satisfies certain ...