About the Authors

Kuangnan Fang

Affiliation Department of Statistics, School of Economics, Xiamen University, Xiamen, China

BenChang Shia

Affiliations Department of Statistics, School of Economics, Xiamen University, Xiamen, China, Department of Statistics and Information Science, FuJen Catholic University, New Taipei City, Republic of China

Shuangge Ma

shuangge.ma@yale.edu

Affiliations Department of Statistics, School of Economics, Xiamen University, Xiamen, 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: KF BS SM. Performed the experiments: KF BS SM. Analyzed the data: KF SM. Contributed reagents/materials/analysis tools: KF. Wrote the paper: KF SM.