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On the sampling distributions of classical statistics in multivariate analysis
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Asymptotic Distributions of Multivariate Intermediate Order Statistics
Theory of Probability & Its Applications, 1997Summary: Let \(\{X_n= (X_n^{(1)}, \dots, X_n^{(d)})\), \(n\geq 1\}\) be independent, identically distributed random vectors with a common nondegenerate distribution function and for each \(n \geq 1\) and each \(k=1, \dots, d\), denote \(X_{1;n}^{(k)} \leq\cdots \leq X_{n;n}^{(k)}\) as the order statistics of \(X_1^{(k)}, \dots, X_n^{(k)}\).
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