On the Asymptotic Distribution of the Multivariate Cramer-Von Mises and Hoeffding-Blum-Kiefer-Rosenblatt Independence Criteria
This exposition consists of two parts. The first one of them is devoted to surveying recent developments in the asymptotic distribution theory of the multivariate Cramér-von Mises statistic. The second part is a preview of some developments in the asymptotic distribution theory of the Hoeffding-Blum-Kiefer-Rosenblatt independence criterion in that the there quoted 1980 joint results with Derek S. Cotterill of the Department of national Defence, Ottawa, have not yet appeared elsewhere.
Key WordsMultivariate Cramér-von Mises statistic Cramér-von Mises type tests of independence distribution tables and rates of convergence for both empirical processes invariance principles
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