About the Authors

An-Shun Tai

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

Affiliation Institute of Statistics, National Tsing Hua University, Hsinchu, Taiwan, R.O.C

Chien-Hua Peng

Roles Conceptualization, Data curation, Investigation, Validation, Writing – review & editing

wphsieh@stat.nthu.edu.tw(WPH); ariel0207@gmail.com (CHP)

Affiliation Institute of Statistics, National Tsing Hua University, Hsinchu, Taiwan, R.O.C

Shih-Chi Peng

Roles Data curation, Investigation, Writing – review & editing

Affiliation Institute of Statistics, National Tsing Hua University, Hsinchu, Taiwan, R.O.C

Wen-Ping Hsieh

Roles Funding acquisition, Methodology, Project administration, Supervision, Writing – review & editing

wphsieh@stat.nthu.edu.tw(WPH); ariel0207@gmail.com (CHP)

Affiliation Institute of Statistics, National Tsing Hua University, Hsinchu, Taiwan, R.O.C

Competing Interests

The authors have declared that no competing interests exist.