1. Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology, Daejeon, South Korea
2. Department of Pediatric Infectious Diseases, Institute of Tropical Medicine, Nagasaki University, Nagasaki, Japan
3. Department of Public Health, Environment and Society, London School of Hygiene and Tropical Medicine, London, UK
4. Centre for Statistical Methodology, London School of Hygiene and Tropical Medicine, London, UK
5. Department of Global Environmental Health, School of Public Health, University of Tokyo, Tokyo, Japan
6. Faculty of Health and Sport Sciences, University of Tsukuba, Tsukuba, Japan