Hogg [2, 3, 4], Hollander [5], and Randies and Hogg [10] have obtained interesting results about zero correlation and certain symmetry properties for classes of statistics. One of the purposes of this article is to collect some of their results and extend them where possible. Several examples are presented demonstrating the broad applicability of the extended results.
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Douglas A. Wolfe (1973) studied this question.
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