Abstract
The sign test based on the k-tuple ranked set samples is discussed here. We first derive the distribution of the k-tuple ranked set sample sign test statistic, and then the asymptotic distribution is also obtained. We then compare its performance with its counterparts based on simple random sample and classical ranked set sample. The asymptotic relative efficiency and the power are then derived. Finally, the effect of imperfect ranking on the procedure is assessed.
Original language | English |
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Pages (from-to) | 3874-3883 |
Number of pages | 10 |
Journal | Communications in Statistics - Theory and Methods |
Volume | 45 |
Issue number | 13 |
DOIs | |
Publication status | Published - 2 Jul 2016 |
Externally published | Yes |
Keywords
- General ranked set sample
- imperfect ranking
- power
- relative efficiency
- sign test