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Biometrika 1978 65(3):650-653; doi:10.1093/biomet/65.3.650
© 1978 by Biometrika Trust
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MISCELLANEA

Correlation structure in Farlie-Gumbel-Morgenstern distributions

WILLIAM R. SCHUCANY, WILLIAM C. PARR and JOHN E. BOYER

Department of Statistics, Southern Methodist University Dallas, Texas

Several measures of dependence are examined for the Farlie-Gumbel-Morgenstern system, F, of joint distributions. Some bounds and relationships are shown for product-moment correlation coefficients and rank correlation coefficients. While the F system is an interesting construction for specified marginals, it is limited to describing weak dependence. A quality control application using a related screening variable is given.

Key Words: Distribution-free • Grade correlation • Rank correlation • Regression • Screening variable • Specified marginal


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