jaroslav hajek and asymptotic theory of rank tests - Kybernetika

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242 j. JUREČKOVÁ

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242 j. JUREČKOVÁ where

Jaroslav Hájek and Asymptotic Theory of Rank Tests 243 Theorem 4.1. (Variance inequality) Let Xi,... ,XN be independent random variables with the ranks Hi,..., RN and arbitrary continuous distribution functions El,..., FN- Let (ci,..., CN) and (ai,..., a;v) be arbitrary vectors, a\ < ... < ajy. Then vаr N У^ CІU(RІ) ,i = l N < 21 mаx (CІ - č") У^(a,- - ã) 2 , (22) Ki

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jaroslav hajek and asymptotic theory of rank tests - Kybernetika

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