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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| Institution: | (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 Leto
j:n
be thej-th order statistic andq
 :n
the -quantile of sample sizen. Ther-th moment of |o
j1:n1-o
j2: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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| Keywords: | |
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