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A Useful Property of Some Symmetric Statistics
Authors:Timothy C. Brown  Geoffrey K. Eagleson
Affiliation:1. Department of Mathematics , Monash University , Clayton, Victoria , 3168 , Australia;2. CSIRO, Division of Mathematics and Statistics , Lindfield, New South Wales , 2070 , Australia
Abstract:The distributions of some statistics arising from the comparison of two populations share a common structure. Consequences of this structure are derived and their usefulness indicated. The examples of statistics to which the theory applies include various correlation coefficients.
Keywords:Independence  Pairwise independence  Correlations
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