On some limit laws for perturbed empirical distribution functions

Manfred Denker and Madan L. Puri

Statistics & Probability Letters, 1994, vol. 21, issue 4, 317-321

Abstract: In this note, we establish the convergence properties for a broad class of random variables of the form Sn = [integral operator]Fn(Tn - s)[nu]n(ds) where Tn is some random variable, Fn is an empirical distribution function based on an independent sample of size n, and [nu]n is some measure.

Keywords: Asymptotic; normality; Perturbed; empirical; distribution; functions (search for similar items in EconPapers)
Date: 1994
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