Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Beta Kumaraswamy Burr Type X Distribution and Its Properties

Version 1 : Received: 19 August 2018 / Approved: 20 August 2018 / Online: 20 August 2018 (12:45:31 CEST)

How to cite: Madaki, U.Y.; Abu Bakar, M.R.; Handique, L. Beta Kumaraswamy Burr Type X Distribution and Its Properties. Preprints 2018, 2018080356. https://doi.org/10.20944/preprints201808.0356.v1 Madaki, U.Y.; Abu Bakar, M.R.; Handique, L. Beta Kumaraswamy Burr Type X Distribution and Its Properties. Preprints 2018, 2018080356. https://doi.org/10.20944/preprints201808.0356.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 densi- ties 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 di erent set of true values. Some real data sets were employed to show the usefulness and exibility of the model which serves as generalization to many sub-models in the elds 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

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