The asymptotic behavior of linear placement statistics |
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| Authors: | Dongjae Kim Wensheng Wang |
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| Affiliation: | a Department of Biostatistics, The Catholic University of Korea, Seoul, 137-701, Republic of Koreab Department of Mathematics, Yonsei University, Seoul, 120-749, Republic of Koreac School of Finance and Statistics, East China Normal University, Shanghai 200241, China |
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| Abstract: | Orban and Wolfe (1982) and Kim (1999) provided the limiting distribution for linear placement statistics under null hypotheses only when one of the sample sizes goes to infinity. In this paper we prove the asymptotic normality and the weak convergence of the linear placement statistics of Orban and Wolfe (1982) and Kim (1999) when the sample sizes of each group go to infinity simultaneously. |
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| Keywords: | primary, 60F05, 62E20, 62G20 secondary, 60E05, 60E10 |
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