About the Authors

Sohail Ahmad

Roles Conceptualization, Data curation, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing – original draft, Writing – review & editing

asohail@stat.qau.edu.pk

Affiliation Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan

Muhammad Arslan

Roles Formal analysis, Methodology, Validation

Affiliation School of Statistics, Shanxi University of Finance and Economics, Taiyuan, China

Aamna Khan

Roles Formal analysis, Resources, Supervision

Affiliation Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan

Javid Shabbir

Roles Conceptualization, Writing – original draft, Writing – review & editing

Affiliation Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan

Competing Interests

The authors have declared that no competing interests exist.