On the mixture of flexible Weibull extension and Burr XII distributions

被引：0

作者：

Kamal R.M. ^{[1
]}

Ismail M.A. ^{[1
]}

机构：

[1] Department of Statistics, Faculty of Economics and Political Science, Cairo University, Giza

来源：

International Journal of Reliability and Safety | 2019年 / 13卷 / 04期

关键词：

Burr XII distribution; Estimation; Failure rate function; Fisher's information matrix; Flexible Weibull distribution; Mixture models; Moments; Order statistics; Quantile function; Reliability;

D O I：

10.1504/IJRS.2019.102889

中图分类号：

学科分类号：

摘要：

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. © 2019 Inderscience Enterprises Ltd.

引用

页码：310 / 334

页数：24

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