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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

References (20)

  1. 1 A new look at the statistical model identification [DOI]
  2. 2 Estimating the Dimension of a Model [DOI]
  3. 3 Model Selection and Akaike's Information Criterion (AIC): The General Theory and its Analytical Extensions [DOI]
  4. 4 A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families [DOI]
  5. 5 A Function for Size Distribution of Incomes [DOI]
  6. 6 The Burr XII Distribution in Reliability Analysis [DOI]
  7. 7 The Graduation of Income Distributions [DOI]
  8. 8 Empirical Bayes estimators of reliability performances using LINEX loss under progressively Type-II censored samples [DOI]
  9. 9 Statistical inference for the Burr model based on progressively censored data [DOI]
  10. 10 Maximum likelihood methods for fitting the burr type XII distribution to multiply (progressively) censored life test data [DOI]
  11. 11 Statistical inference about the shape parameter of the Burr type XII distribution under the failure-censored sampling plan [DOI]
  12. 12 On Bayesian interval prediction of future records [DOI]
  13. 13 Statistical inference based on progressively censored samples with random removals from the Burr type XII distribution [DOI]
  14. 14 Maximum likelihood estimation of the Burr XII parameters with censored and uncensored data [DOI]
  15. 15 The Burr type XII distribution as a failure model under various loss functions [DOI]
  16. 16 The use of Burr type XII distribution on software reliability growth modelling [DOI]
  17. 17 Determination of embedded distributions [DOI]
  18. 18 An Extension of Poisson Distribution and its Applications in Human Reproduction [DOI]
  19. 19 Computational Statistics and Data Analysis [DOI]
  20. 20 Wiley Series in Probability and Statistics [DOI]

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