KUMARASWAMY WEIBULL-GENERATED FAMILY OF DISTRIBUTIONS WITH APPLICATIONS

被引:37
作者
Hassan, Amal S. [1 ]
Elgarhy, M. [1 ,2 ]
机构
[1] Cairo Univ, Dept Math Stat, ISSR, Giza, Giza Governorat, Egypt
[2] Burraydah Colleges, Dept Math Stat, Qasim, Saudi Arabia
关键词
Kumaraswamy Weibull distribution; Weibull-G family; moments; order statistics; maximum likelihood estimation;
D O I
10.17654/AS048030205
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper, we introduce and study a new family of continuous distributions called Kumaraswamy Weibull-generated (KwW - G) family of distributions which is an extension of the Weibull-G family of distributions proposed by Bourguignon in [3]. The new family includes several known models. We obtain general explicit expressions for the quantile function, moments, probability weighted moments, generating function, mean deviation and order statistics. Making use of maximum likelihood method, we discuss the model parameters. Furthermore, besides showing the usefulness of our proposed family of distributions by considering a three real data set, evidence of this family to outperform other classes of lifetime models has been noticed.
引用
收藏
页码:205 / 239
页数:35
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