期刊名称:Journal of Statistical Theory and Applications (JSTA)
电子版ISSN:1538-7887
出版年度:2014
卷号:13
期号:1
页码:3-18
DOI:10.2991/jsta.2014.13.1.1
语种:English
出版社:Atlantis Press
摘要:We introduce a new family of distributions called the gamma extended Weibull family. The proposed family includes several well-known models as special cases and defines at least seventeen new special models. Structural properties of this family are studied. Additionally, the maximum likelihood method for estimating the model parameters is discussed. An application to real data illustrates the usefulness of the new family. The results provide evidence that the proposed family outperforms other classes of lifetime models.
关键词:Extended Weibull distributions; Hazard rate function; Maximum likelihood estimation; Moments; Stacy’s generalized gamma distribution