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Research Article Open access CC BY 4.0

Modified Burr Xii Distribution: Properties and Applications

Faiza Afzal, Sahab Kausar, Mohammad Shahzad Qamar, Shabab Akbar

Asian Journal of Probability and Statistics · pp. 1–15 · Published 1 Feb 2023

10.9734/ajpas/2023/v21i2458

Abstract

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).

CDF PDF MBXII SF HF

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