Let (Xᵢ, Yᵢ) (i = 1, 2, ⋯, n) be n independent rv's from some bivariate distribution. If Xr:n denotes the rth ordered X-variate, then the Y-variate Yr:n paired with Xr:n is termed the concomitant of the rth order statistics. The exact and asymptotic distribution theory of Yr:n and of its rank are studied. The results obtained are applied to a prediction problem in a Round Robin tournament.
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A 1977 study studied this question.