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  • 标题:The Exponential Pareto Power Series Distribution: Theory and Applications
  • 本地全文:下载
  • 作者:I. Elbatal ; Mohamed Zayed ; Mahdi Rasekhi
  • 期刊名称:Pakistan Journal of Statistics and Operation Research
  • 印刷版ISSN:2220-5810
  • 出版年度:2017
  • 卷号:13
  • 期号:3
  • 页码:603-615
  • DOI:10.18187/pjsor.v13i3.2072
  • 语种:English
  • 出版社:College of Statistical and Actuarial Sciences
  • 摘要:A new lifetime class of distributions is introduced by compounding the exponential Pareto and power series distributions. The compounding procedure follows the same set-up carried out by Adamidis and Loukas (1998). We obtain several properties of the new class including ordinary and conditional, mean deviations, Bonferroni and Lorenz curves, residual and reversed residual lifes and order statistics. The maximum likelihood estimation procedure is carried out to estimate the model parameters. We present three special models of the proposed class.
  • 其他摘要:A new lifetime class of distributions is introduced by compounding the exponential Pareto and power series distributions. The compounding procedure follows the same set-up carried out by Adamidis and Loukas (1998). We obtain several properties of the new class including ordinary and conditional, mean deviations, Bonferroni and Lorenz curves, residual and reversed residual lifes and order statistics. The maximum likelihood estimation procedure is carried out to estimate the model parameters. We present three special models of the proposed class.
  • 关键词:Exponential Pareto Distribution; Power Series Distribution; Maximum Likelihood Estimation; Moments.
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