Ranked set sample inference under a symmetry restriction |
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| Institution: | 1. Neurology Department, The First Clinical College of Harbin Medical University, Harbin 150001, PR China;2. Department of Neurology, The Affiliated Hospital of Weifang Medical University, Weifang 261000, Shandong, PR China;3. Division of Swine Infectious Diseases, State Key Laboratory of Veterinary Biotechnology, Harbin Veterinary Research Institute of Chinese Academy of Agricultural Sciences, Harbin 150001, PR China;4. Molecular Neurobiology Section, National Institute of Mental Health, National Institutes of Health, Bethesda, MD 20892-1363, USA;1. Department of Mathematics, Shiraz University of Technology, Shiraz, Iran;2. Department of Applied Mathematics, Xi’an Jiaotong-Liverpool University, Suzhou, Jiangsu 215123, China |
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| Abstract: | This paper considers statistical inference for a ranked set sample under a symmetry restriction on the underlying distribution. We present new estimators for the distribution function and the center of symmetry. It is shown that these estimators outperform their competitors in the literature. Based on the proposed distribution function estimator, a Kolmogorov–Smirnov type test is developed and the construction of a confidence interval is discussed. |
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