Testing Independence When the Form of the Bivariate Distribution is Unspecified

by Seymour Geisser and Wesley Johnson
Technical Report No. 590
School of Statistics
University of Minnesota
and University fo California, Davis
October, 1993

Research supported in part by NIH grant GM25271.

Key Words

DNA profiling, Exchangeability, Independence, Quantile Tables

Abstract

We address the problem of testing for independence between X and Y in two situations. In the first we assume that the joint distribution of X and Y is unknown but the observations on X and Y are identifiable. In the second case we assume that the distribution of (X,Y) is exchangeable. Here we consider both when (X,Y) are indentifiable and when they are not. For the latter case, an application involving the use of Hardy-Weinberg law in DNA profiling is given.

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