publication . Article . Other literature type . 1983

a characterization of rectangular distributions

Terrell, George R.;
Open Access
  • Published: 01 Aug 1983 Journal: The Annals of Probability, volume 11, pages 823-826 (issn: 0091-1798, Copyright policy)
  • Publisher: Institute of Mathematical Statistics
Abstract
It is well known that the smaller and the larger of a random sample of size two are positively correlated. The coefficient of correlation is at most one-half, and the upper bound is attained only for rectangular distributions.
Subjects
free text keywords: Statistics, Probability and Uncertainty, Statistics and Probability, Legendre polynomials, Ratio distribution, Univariate distribution, Uniform distribution (continuous), Associated Legendre polynomials, Triangular distribution, Combinatorics, Order statistic, Mathematics, Mathematical analysis, Rectangular distribution, uniform distribution, order statistics, coefficient of correlation, 60E15, 62E10
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publication . Article . Other literature type . 1983

a characterization of rectangular distributions

Terrell, George R.;