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Ranked-set sample nonparametric quantile confidence intervals
Institution:1. Division of Epidemiology and Biostatistics, Georgia State University School of Public Health, One Park Place, Atlanta, GA 30303, United States;2. Department of Mathematics and Statistics, Georgia State University, 30 Pryor Street, Atlanta, GA 30303-3083, United States;1. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China;2. School of Mathematics and Statistics, University of New South Wales, Sydney 2052, Australia;3. School of Mathematics, Jilin University, Changchun 130012, China;1. Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing 210023, PR China;2. School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing 210094, PR China;3. College of Computer Science and Software Engineering, Shenzhen University, Shenzhen 518060, PR China;4. Key Laboratory of Image and Video Understanding for Social Safety, Nanjing University of Science and Technology, Nanjing 210094, PR China;5. School of Computer and Software, Nanjing University of Information Science and Technology, Nanjing 210044, PR China;6. Fujian Provincial Key Laboratory of Information Processing and Intelligent Control, Minjiang University, Fuzhou 350121, PR China
Abstract:A nonparametric exact quantile interval is developed for ranked-set samples. The proposed interval provides higher coverage probability and shorter expected length than its simple random sample analog. In order to achieve the desired confidence level a distribution-free confidence interval that interpolates the adjacent order statistics is constructed.
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