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  • 标题:A New Flexible Version of the Lomax Distribution with Applications
  • 作者:T. H. M. Abouelmagd
  • 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.
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