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Simultaneous confidence bands for a percentile line in linear regression
Affiliation:1. S3RI and School of Mathematics, University of Southampton, Southampton SO17 1BJ, UK;2. Novartis Pharma AG, Basel, 4002, Switzerland;3. Shanghai University of Finance and Economics, Shanghai, 200433, China;1. School of Economics and Management, Beijing Jiaotong University, Beijing, 100044, China;2. Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing, 100044, China;1. Center for Applied Statistics, School of Statistics, Renmin University of China, Beijing, 100872, China;2. School of Statistics and Information, Xinjiang University of Finance and Economics, 830012, Xinjiang, China;3. School of Statistics, Lanzhou University of Finance and Economics, Lanzhou, 730101, Gansu;1. Faculty of Education, University of Macau, Macau, China;2. Faculty of Science and Technology, University of Macau, Macau, China;1. Artificial Intelligence Research Institute (IIIA), Spanish Council of Scientific Research (CSIC), Universitat Autònoma de Barcelona (UAB), Bellaterra, Catalonia, 08193, Spain;2. Social Statistics and the Cathie Marsh Centre for Census and Survey Research (CCSR), The University of Manchester, Humanities Bridgeford Street, Manchester, M13 9PL, UK;1. School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, Hubei, PR China;2. Department of Biostatistics and Computational Biology, School of Medicine and Dentistry, University of Rochester, 601 Elmwood Avenue, Box 630, Rochester, NY, 14642, United States
Abstract:
Keywords:Confidence level  Linear regression  Percentile line  Simultaneous confidence band  Statistical simulation
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