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.
| Original language | English |
|---|---|
| Pages (from-to) | 326-336 |
| Number of pages | 11 |
| Journal | Statistics and Probability Letters |
| Volume | 81 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2011 Feb 1 |
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All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty
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The asymptotic behavior of linear placement statistics. / Kim, Dongjae; Lee, Sungchul; Wang, Wensheng.
In: Statistics and Probability Letters, Vol. 81, No. 2, 01.02.2011, p. 326-336.Research output: Contribution to journal › Article
TY - JOUR
T1 - The asymptotic behavior of linear placement statistics
AU - Kim, Dongjae
AU - Lee, Sungchul
AU - Wang, Wensheng
PY - 2011/2/1
Y1 - 2011/2/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=78650706886&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=78650706886&partnerID=8YFLogxK
U2 - 10.1016/j.spl.2010.10.021
DO - 10.1016/j.spl.2010.10.021
M3 - Article
AN - SCOPUS:78650706886
VL - 81
SP - 326
EP - 336
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
SN - 0167-7152
IS - 2
ER -