Moment (in-)equalities for differences of order statistics with different sample sizes |
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| Authors: | Prof. D. Landers Prof. L. Rogge |
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| Affiliation: | (1) Mathematisches Institut an der Universität, Weyertal 86-90, 5000 Köln 41, FRG;(2) Universität Duisburg—Gesamthochschule, FB 11— Mathematik, Lotharstr. 65, 4100 Duisburg 1, FRG |
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| Abstract: | Summary Letoj:n be thej-th order statistic andq :n the -quantile of sample sizen. Ther-th moment of |oj1:n1-oj2:n2| is calculated in terms of hypergeometric distributions. This equality is applied to obtain moment (in-)equalities for |q:n1-q:n2|. |
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