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  • 标题:Generalized Quasi Lindley Distribution: Theoretical Properties, Estimation Methods, and Applications
  • 本地全文:下载
  • 作者:Amer Ibrahim Al-Omari ; SidAhmed Benchiha
  • 期刊名称:AEDOS
  • 印刷版ISSN:1984-5634
  • 出版年度:2021
  • 卷号:14
  • 期号:1
  • 页码:425-438
  • DOI:10.1285/i20705948v14n1p167
  • 语种:English
  • 出版社:AEDOS
  • 摘要:In this paper, we introduce a new continuous distribution of two parameterscalled as a generalized Quasi Lindley distribution (GQLD). The GQLD is asum of two independent Quasi Lindley distributed random variables. Compre-hensive statistical properties of the GQLD are provided in closed forms includesmoments, reliability analysis, stochastic ordering, stress-strength reliability, andthe distribution of order statistics. The parameters of the new distribution areestimated by the maximum likelihood, maximum product of spacings, ordinaryleast squares, weighted least squares, Cramer-von-Mises, and Anderson-Darlingmethods are considered. A simulation study is conducted to investigate theeciency of the proposed estimators and applications to real data sets are pro-vided.
  • 关键词:Quasi Lindley distribution;Independent random variables;Method of maximum product of spacings;Methods of least squares;Methods of minimum distances.
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