About the Authors

Yunfeng Xiong

Contributed equally to this work with: Yunfeng Xiong, Chuntian Wang, Yuan Zhang

Roles Formal analysis, Investigation, Methodology, Software, Visualization, Writing – review & editing

Affiliation School of Mathematical Sciences, Beijing Normal University, Beijing, China

Chuntian Wang

Contributed equally to this work with: Yunfeng Xiong, Chuntian Wang, Yuan Zhang

Roles Formal analysis, Investigation, Methodology, Writing – original draft, Writing – review & editing

Affiliation Department of Mathematics, The University of Alabama, Tuscaloosa, Alabama, United States of America

Yuan Zhang

Contributed equally to this work with: Yunfeng Xiong, Chuntian Wang, Yuan Zhang

Roles Conceptualization, Formal analysis, Methodology, Software, Supervision, Writing – review & editing

zhang_probab@ruc.edu.cn

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

Competing Interests

The authors have declared that no competing interests exist.