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A class of symmetric bivariate uniform distributions

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Abstract

A class of symmetric bivariate uniform distributions is proposed for use in statistical modeling. The distributions may be constructed to be absolutely continuous with correlations as close to±1 as desired. Expressions for the correlations, regressions and copulas are found. An extension to three dimensions is proposed.

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Authors and Affiliations

  1. Mathematics Department, UCLA, 405 Hilgard Avenue, 90024, Los Angeles, CA

    T. S. Ferguson

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  1. T. S. Ferguson
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Ferguson, T.S. A class of symmetric bivariate uniform distributions. Stat Papers 36, 31–40 (1995). https://doi.org/10.1007/BF02926016

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  • DOI: https://doi.org/10.1007/BF02926016

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