We consider a sequence of independent random variables having the common distribution function F(x) which is assumed to be continuous. Let nFn(x) denote the number of random variables among the first n of the sequence whose values do not exceed x. Write (1.1) dn= sup (Fn(x) -F(x))\.
No takes yet. Share an insight, caveat, or question.
Kai-Lai Chung (1949) studied this question.
Synapse has enriched 3 closely related papers on similar clinical questions. Consider them for comparative context: