期刊名称:International Journal of Statistics and Probability
印刷版ISSN:1927-7032
电子版ISSN:1927-7040
出版年度:2018
卷号:7
期号:5
页码:120
DOI:10.5539/ijsp.v7n5p120
出版社:Canadian Center of Science and Education
摘要:A new version of the Lomax model is introduced and studied. The major justification for the practicality of the new model is based on the wider use of the Lomax model. We are also motivated to introduce the new model since the density of the new distribution exhibits various important shapes such as the unimodal, the right skewed and the left skewed. The new model can be viewed as a mixture of the exponentiated Lomax distribution. It can also be considered as a suitable model for fitting the symmetric, left skewed, right skewed, and unimodal data sets. The maximum likelihood estimation method is used to estimate the model parameters. We prove empirically the importance and flexibility of the new model in modeling two types of aircraft windshield lifetime data sets. The proposed lifetime model is much better than gamma Lomax, exponentiated Lomax, Lomax and beta Lomax models so the new distribution is a good alternative to these models in modeling aircraft windshield data.