Distribution of Quantiles in Samples from a Bivariate Population *

Abstract

Let F (x,y) be t he joint d istri but ion function of (X, y), possessing a probability density funct ion f(x,y). Let F I(X) and l>'2(Y) be the marginal distribut ion fun ctions of X and Y respectively. Let a be a quantile of FI (x) and f3 be a quantile of F2(y). A random sampl e (X k, Y k), k= 1, 2, ... , n, is drawn a nd t he values on each variate are… (More)

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