Asymptotics of multivariate randomness statistics

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1 Citation (Scopus)


Kiefer considered the asymptotics of q-sample Cramer-Von Mises statistics for a fixed q and sample sizes tending to infinity. For univariate observations, McDonald proved the asymptotic normality of these statistics when q goes to infinity while the sample sizes stay fixed. Here we define a class of multivariate randomness statistics that generalizes the class considered by McDonald. We also prove the asymptotic normality of such statistics when the sample sizes stay fixed while q tends to infinity.

Original languageEnglish
Pages (from-to)340-348
Number of pages9
JournalJournal of Multivariate Analysis
Issue number2
Publication statusPublished - Nov 1995
Externally publishedYes

ASJC Scopus subject areas

  • Statistics and Probability
  • Numerical Analysis
  • Statistics, Probability and Uncertainty


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