On the asymptotics of randomness statistics

David R. McDonald · Canadian Journal of Statistics · 1991

Abstract Kiefer (1959) studied the asymptotics of q‐sample Cramér‐von Mises nonparametric statistics when q is fixed and the sample sizes tend to infinity. Here we prove the asymptotic normality of such statistics when the sample sizes stay fixed or small while the number of samples, q, becomes large.

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