International journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN:2313-626X

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 Volume 5, Issue 6 (June 2018), Pages: 64-69

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 Original Research Paper

 Title: Univariate and bivariate Burr x-type distributions

 Author(s): Mervat K. Abd Elaala *, Lamya A. Baharith

 Affiliation(s):

 Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

 https://doi.org/10.21833/ijaas.2018.06.010

 Full Text - PDF          XML

 Abstract:

The Burr X distribution has been extensively studied by many researchers. It has many applications in medical, biological, agriculture and other fields. In this paper, a new family of Burr X-type distributions is introduced; the univariate Burr X-type distribution and the bivariate Burr X-type distribution. The bivariate Burr X-type distribution is constructed based on Gaussian copula with univariate Burr X-type distribution as marginals. This type distribution is more flexible and provides easier implementation and extension to bivariate form. A Gibbs sampler procedure is used to obtain Bayesian estimates of the unknown parameters. A simulation study is carried out to illustrate the efficiency of the proposed bivariate Burr X-type distribution. Finally, the proposed bivariate distribution is applied on real data to demonstrate its usefulness for real life applications. 

 © 2018 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Burr X distribution, M mixture representation, Copula, Bivariate Burr X type distribution, Gibbs sampler

 Article History: Received 24 January 2018, Received in revised form 30 March 2018, Accepted 9 April 2018

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2018.06.010

 Citation:

 Elaala MKA and Baharith LA (2018). Univariate and bivariate Burr x-type distributions. International Journal of Advanced and Applied Sciences, 5(6): 64-69

 Permanent Link:

 http://www.science-gate.com/IJAAS/2018/V5I6/Elaala.html

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