The Inverse Weibull Generator of Distributions: Properties and Applications

Journal of Data Science

article

Amal S. Hassan¹  Said G. Nassr² 

[1] Mathematical Statistics, Institute of Statistical Studies and Research, Cairo University;Faculty of Business Administration and International Marketing, Sinai University

关键词: Inverse Weibull distribution;    Moments;    quantiles;    Inverse Weibull-G family;   

DOI  :  10.6339/JDS.201810_16(4).00004

学科分类：土木及结构工程学

来源: JDS

【 摘 要 】

In this paper, we introduce a new family of univariate distributions with two extra positive parameters generated from inverse Weibull random variable called the inverse Weibull generated (IW-G) family. The new family provides a lot of new models as well as contains two new families as special cases. We explore four special models for the new family. Some mathematical properties of the new family including quantile function, ordinary and incomplete moments, probability weighted moments, Rѐnyi entropy and order statistics are derived. The estimation of the model parameters is performed via maximum likelihood method. Applications show that the new family of distributions can provide a better fit than several existing lifetime models.

【 授权许可】

CC BY