Square tray distributions

Norman L. Johnson and Samuel Kotz

Statistics & Probability Letters, 1999, vol. 42, issue 2, 157-165

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).

Keywords: Measures; of; dependence; Uncorrelatedness; Uniform; Marginals (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (1)

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