The asymptotic behavior of linear placement statistics

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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Year of publication:	2011
Authors:	Kim, Dongjae ; Lee, Sungchul ; Wang, Wensheng
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 81.2011, 2, p. 326-336
Publisher:	Elsevier
Keywords:	Central limit theorem Weak convergence Distribution-free procedure Linear placement statistic

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008868907