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Square tray distributions

Author

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  • Johnson, Norman L.
  • Kotz, Samuel

Abstract

As an example of distributions constructed by simple, piecewise uniform modifications of a uniform distribution on the unit ([0,1]2) square, the authors present square tray distributions. These distributions are even simpler than those studied earlier (Johnson and Kotz, 1998. Nicked and Notched Square Distributions. The George Washington University, Washington DC) in the sense that there are only two different levels of the probability density function, but they lead to more complicated formulas for the so-called Schweizer-Wolff (and related) measure of dependence ([sigma]) because there are no neutral regions in the unit square (as were the 'nicks' and 'notches' in the original cases discussed in Johnson and Kotz, 1998).

Suggested Citation

  • Johnson, Norman L. & Kotz, Samuel, 1999. "Square tray distributions," Statistics & Probability Letters, Elsevier, vol. 42(2), pages 157-165, April.
    • Handle: RePEc:eee:stapro:v:42:y:1999:i:2:p:157-165
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    Cited by:

    1. Kotz, Samuel & Fang, Hong-Bin & Wei, Gang, 2002. "Multiple square tray distributions," Statistics & Probability Letters, Elsevier, vol. 59(2), pages 195-207, September.

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