The Additive Weibull-Geometric Distribution: Theory and Applications

被引：0
|
作者：
I. Elbatal
M. M. Mansour
Mohammad Ahsanullah
机构：
[1] Al Imam Mohammad Ibn Saud Islamic University,Department of Mathematics and Statistics
[2] Benha University, College of Science
[3] Rider University,Department of Statistics, Mathematics and Insurance
来源：
Journal of Statistical Theory and Applications | 2016年 / 15卷 / 2期
关键词：
Additive Weibull distribution; Geometric distribution; Moments; Maximum likelihood; 60-XX; 60EXX;
D O I：
10.2991/jsta.2016.15.2.3
中图分类号：
学科分类号：
摘要：
In this paper, we introduce a new class of lifetime distributions which is called the additive Weibull geometric (AWG) distribution. This distribution obtained by compounding the additive Weibull and geometric distributions. The new distribution has a number of well-known lifetime special sub-models such as modified Weibull geometric, Weibull geometric, exponential geometric, among several others. Some structural properties of the proposed new distribution are discussed. We propose the method of maximum likelihood for estimating the model parameters and obtain the observed information matrix. A real data set is used to illustrate the importance and flexibility of the new distribution.
引用
收藏
页码：125 / 141
页数：16
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