Sign test based on k-tuple general ranked set samples |
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| Authors: | Tao Li Narayanaswamy Balakrishnan |
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| Affiliation: | 1. School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai, China;2. Key Laboratory of Mathematical Economics (SUFE), Ministry of Education, Shanghai, Chinali.tao@mail.shufe.edu.cn;4. Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada |
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| Abstract: | ABSTRACTThe 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. |
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| Keywords: | General ranked set sample imperfect ranking power relative efficiency sign test |
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