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 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty
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Kim, D., Lee, S., & Wang, W. (2011). The asymptotic behavior of linear placement statistics. Statistics and Probability Letters, 81(2), 326-336. https://doi.org/10.1016/j.spl.2010.10.021