Beta Kumaraswamy Burr Type X Distribution and Its Properties

Authors

  • Umar Yusuf Madaki aDepartment of Mathematics, Faculty of Science, Universiti Putra Malaysia, MALAYSIA
  • Mohd Rizam Abu Bakar Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, MALAYSIA
  • Laba Handique Department of Statistics, Faculty of Science, Dibrugarh University, INDIA

DOI:

https://doi.org/10.53797/aseana.v2i1.2.2022

Keywords:

Bayesian, Beta Kumaraswamy-G, Burr Type X, Kumaraswamy-G, quantile function, maximum likelihood estimation, inverse CDF method of simulation

Abstract

We proposed a so-called Beta Kumaraswamy Burr Type X distribution which gives the extension of the Kumaraswamy-G class of family distribution. Some properties of this proposed model were provided, like the expansion of densities and quantile function. We considered the Bayes and maximum likelihood methods to estimate the parameters and also simulate the model parameters to validate the methods based on different set of true values. Some real data sets were employed to show the usefulness and flexibility of the model which serves as generalization to many sub-models in the fields of engineering, medical, survival and reliability analysis.

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Author Biographies

Umar Yusuf Madaki, aDepartment of Mathematics, Faculty of Science, Universiti Putra Malaysia, MALAYSIA

Department of Mathematics and Statistics, Faculty of Science, Yobe State University, NIGERIA

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

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

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Published

2022-06-29

How to Cite

Madaki, U. Y., Abu Bakar, M. R. ., & Handique, L. . (2022). Beta Kumaraswamy Burr Type X Distribution and Its Properties. ASEANA Science and Education Journal, 2(1), 9-36. https://doi.org/10.53797/aseana.v2i1.2.2022