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Beta Kumaraswamy Burr Type X Distribution and Its Properties
Version 1
: Received: 16 August 2018 / Approved: 17 August 2018 / Online: 17 August 2018 (12:09:05 CEST)
How to cite: Madaki, U. Y.; Bakar, M. R. A.; Handique, L. Beta Kumaraswamy Burr Type X Distribution and Its Properties. Preprints 2018, 2018080304. https://doi.org/10.20944/preprints201808.0304.v1 Madaki, U. Y.; Bakar, M. R. A.; Handique, L. Beta Kumaraswamy Burr Type X Distribution and Its Properties. Preprints 2018, 2018080304. https://doi.org/10.20944/preprints201808.0304.v1
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 field of engineering, medical, survival and reliability analysis.
Keywords
bayesian; beta Kumaraswamy-G; burr type X; Kumaraswamy-G; quantile function; maximum likelihood estimation; inverse CDF method of simulation
Subject
Computer Science and Mathematics, Probability and Statistics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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