Kumaraswamy Burr Type X Distribution and Its Properties


  • Umar Yusuf Madaki Department of Mathematics and Statistics, Yobe State University, Damaturu, NIGERIA
  • Mohd Rizam Abu Bakar Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Selangor, MALAYSIA
  • Mundher Abdallah Khaleel Department of Mathematics and Computer Science, University of Tikrit, IRAQ
  • Laba Handique Department of Statistics, Faculty of Science, Dibrugarh University, INDIA




Bayesian Analysis, Burr-Type X, Kumaraswamy Burr-Type X, moments, maximum likelihood estimation, simulation study


In this work, we introduce a new model Kumaraswamy Burr-Type X (Kum-BX) from the so-called Kumaraswamy-G family of distributions. Kum-BX serves as an alternative to the Kumaraswamy-Weibull model, which is very flexible distribution that has increasing, decreasing, and bathtub shapes in the hazard function. Several properties of this new model were provided. The generalization of densities of this further four-parameter distribution, the expression for the rth moment, m.g.f, Renyi entropy, and the order statistics was established. A simulation study at different sample sizes with parameter values was done to validate and compare the mean errors increasing the sample size decreases the error. We also considered the MLE and Bayes methods to estimate the parameters of the new model and its flexibility with an application to real data set was applied to illustrate its usefulness for recommendation in agricultural, medical, and engineering areas respectively.


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Author Biography

Mohd Rizam Abu Bakar, Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Selangor, MALAYSIA

Laboratory of Computational Statistics and Operations Research, Institute for Mathematical Research, Universiti Putra Malaysia, Selangor, MALAYSIA


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How to Cite

Madaki, U. Y., Abu Bakar, M. R. ., Khaleel, M. A. ., & Handique, L. . (2022). Kumaraswamy Burr Type X Distribution and Its Properties. ASEANA Science and Education Journal, 2(2), 11-38. https://doi.org/10.53797/aseana.v2i2.2.2022