Title: On the mixture of flexible Weibull extension and Burr XII distributions

Authors: Rania M. Kamal; Moshira A. Ismail

Addresses: Department of Statistics, Faculty of Economics and Political Science, Cairo University, Giza, Egypt ' Department of Statistics, Faculty of Economics and Political Science, Cairo University, Giza, Egypt

Abstract: This paper is devoted to study a new mixture model. This newly suggested model is a mixture of flexible Weibull extension and Burr XII distributions. We study the characteristics of the proposed distribution that includes probability density function, cumulative distribution function, reliability function and ageing behaviour through the failure rate function. Some statistical properties of the proposed distribution such as quantile function, the mode, median, r-th moments, the moment generating function and the order statistics are discussed. Moreover, the method of maximum likelihood is proposed for estimating the model parameters and also the Fisher's information matrix is derived. Finally, the performance of the proposed distribution is compared with existing distributions using applications of two real data sets to show the flexibility and efficiency of the new model.

Keywords: mixture models; flexible Weibull distribution; Burr XII distribution; reliability; failure rate function; quantile function; moments; order statistics; estimation; Fisher's information matrix.

DOI: 10.1504/IJRS.2019.102889

International Journal of Reliability and Safety, 2019 Vol.13 No.4, pp.310 - 334

Received: 06 Oct 2018
Accepted: 27 Aug 2019
Published online: 08 Oct 2019 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article