About the Authors

Sohaib Ahmad

Roles Conceptualization, Data curation, Formal analysis, Writing – original draft

Affiliation Department of Statistics, Abdul Wali Khan University, Mardan, Pakistan

Sardar Hussain

Roles Conceptualization, Data curation, Formal analysis, Methodology, Writing – original draft

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

Kalim Ullah

Roles Conceptualization, Data curation, Writing – original draft

Affiliation Foundation University Medical College, Foundation University School of Health Sciences, DHA-I, Islamabad, Pakistan

Erum Zahid

Roles Conceptualization, Formal analysis, Writing – original draft

Affiliation Department of Applied Mathematics and Statistics, Institute of Space Techonalogy, Islamabad, Pakistan

Muhammad Aamir

Roles Conceptualization, Software, Supervision

Affiliation Department of Statistics, Abdul Wali Khan University, Mardan, Pakistan

Javid Shabbir

Roles Conceptualization, Supervision, Validation

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

Zubair Ahmad

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

z.ferry21@gmail.com

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

Huda M. Alshanbari

Roles Data curation, Formal analysis, Software, Writing – review & editing

Affiliation Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia

Wejdan Alajlan

Roles Formal analysis, Software, Writing – original draft

Affiliation Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia

Competing Interests

The authors have declared that no competing interests exist.