About the Authors

Yu Wang

Contributed equally to this work with: Yu Wang, Yan Jiang

Affiliations School of Statistics and The Center for Applied Statistics, Renmin University of China, Beijing, China, School of Public Health, Yale University, New Haven Connecticut, United States of America

Yan Jiang

Contributed equally to this work with: Yu Wang, Yan Jiang

Affiliation School of Statistics and The Center for Applied Statistics, Renmin University of China, Beijing, China

Yang Li

Affiliation School of Statistics and The Center for Applied Statistics, Renmin University of China, Beijing, China

Xiaojun Wang

Affiliation School of Statistics and The Center for Applied Statistics, Renmin University of China, Beijing, China

Chi Ma

Affiliation Humanities and Social Science College, Beijing Institute of Petrochemical Technology, Beijing, China

Shuangge Ma

shuangge.ma@yale.edu

Affiliations School of Statistics and The Center for Applied Statistics, Renmin University of China, Beijing, China, School of Public Health, Yale University, New Haven Connecticut, United States of America

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: YW YJ XW SM. Performed the experiments: YW YJ YL XW SM. Analyzed the data: YW. Wrote the paper: YW CM SM.