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On the asymptotics of randomness statistics
Author(s) -
Mcdonald D.
Publication year - 1991
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3315798
Subject(s) - mathematics , statistics , nonparametric statistics , randomness , sample (material) , infinity , asymptotic distribution , sample size determination , sample mean and sample covariance , mathematical analysis , estimator , physics , thermodynamics
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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