The asymptotic behavior of linear placement statistics

Dongjae Kim, Sungchul Lee and Wensheng Wang

Statistics & Probability Letters, 2011, vol. 81, issue 2, 326-336

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.

Keywords: Central; limit; theorem; Weak; convergence; Distribution-free; procedure; Linear; placement; statistic (search for similar items in EconPapers)
Date: 2011
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