Modified Burr Xii Distribution: Properties and Applications

Faiza Afzal

Department of Statistics, Government College, University of Lahore, Pakistan.

Sahab Kausar *

Department of Statistics, Aligarh Muslim University, Aligarh, India.

Mohammad Shahzad Qamar

Department of Statistics, Government College, University of Lahore, Pakistan.

Shabab Akbar

School of Computational and Integrative Sciences, Jawaharlal Nehru University, New Delhi, India.

*Author to whom correspondence should be addressed.


Creating suitable, data-friendly models to interpret statistical data has been a goal of numerous researchers. Even new generalizations of models with several parameters are developed to handle complex data. The Burr XIII distribution has been utilized extensively in software reliability, failure censored plans, future observables prediction, ball-bearing loss, tax revenue, etc. Abdel-Ghaly et al.(1997), Wu and Yu (2005)), AL-Hussaini (2003), Shao Q. et al. (2004), Mead M. E. (2014).  This article suggests changing the Burr XIII (MB XIII) distribution. The projected distribution is more adaptable and manageable than the Burr type XIII (B XIII) distribution and its parent. The proposed distribution's characteristics are deduced in some cases. To demonstrate its utility, we compare Burr XIII and its sub-model to real-world data sets, ball-bearing failure metrics, and actual tax revenue data (in 1000 million Egyptian pounds).

Keywords: CDF, PDF, MBXII, SF, HF

How to Cite

Afzal, F., Kausar, S., Qamar, M. S., & Akbar, S. (2023). Modified Burr Xii Distribution: Properties and Applications. Asian Journal of Probability and Statistics, 21(2), 1–15.


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