About the Authors

Muhammad Azeem

Roles Conceptualization, Formal analysis, Software, Supervision, Writing – original draft

azeemstats@uom.edu.pk

Affiliation Department of Statistics, University of Malakand, Khyber Pakhtunkhwa, Pakistan

Javid Shabbir

Roles Data curation, Formal analysis, Methodology, Validation, Writing – review & editing

Affiliations Department of Statistics, University of Wah, Wah Cantt, Pakistan, Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan

Najma Salahuddin

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

Affiliation Department of Statistics, Shaheed Benazir Bhutto Women University, Peshawar, Pakistan

Sundus Hussain

Roles Methodology, Validation, Writing – review & editing

Affiliation Department of Statistics, Shaheed Benazir Bhutto Women University, Peshawar, Pakistan

Musarrat Ijaz

Roles Data curation, Validation, Writing – review & editing

Affiliation Department of Statistics, Rawalpindi Women University, Rawalpindi, Pakistan

Competing Interests

The authors have declared that no competing interests exist.