About the Authors

Ting-Li Chen

Roles Conceptualization, Investigation, Methodology, Project administration, Resources, Supervision, Validation, Writing – original draft, Writing – review & editing

Affiliation Institute of Statistical Science, Academia Sinica, Taipei, Taiwan

Elizabeth P. Chou

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

Affiliation Department of Statistics, National Chengchi University, Taipei, Taiwan

Min-Yi Chen

Roles Data curation, Visualization

Affiliation Department of Statistics, National Chengchi University, Taipei, Taiwan

Fushing Hsieh

Roles Conceptualization, Funding acquisition, Supervision, Writing – original draft, Writing – review & editing

fhsieh@ucdavis.edu

Affiliation Department of Statistics, University of California at Davis, Davis, CA, United States of America

Competing Interests

The authors have declared that no competing interests exist.