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jaroslav hajek and asymptotic theory of rank tests - Kybernetika

jaroslav hajek and asymptotic theory of rank tests - Kybernetika

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Jaroslav Hájek <strong>and</strong> Asymptotic Theory <strong>of</strong> Rank Tests 245<br />

where / is an arbitrary one-dimensional density.<br />

Hajek attacked this problem using the weak convergence <strong>of</strong> empirical processes<br />

which was a pioneering method in 1965. He considered the <strong>rank</strong>-scores process<br />

XN = I X N (t) = ^c Ni a Ni (t), 0

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