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  • 标题:A Modification of the Quasi Lindley Distribution
  • 本地全文:下载
  • 作者:Ramajeyam Tharshan ; Pushpakanthie Wijekoon
  • 期刊名称:Open Journal of Statistics
  • 印刷版ISSN:2161-718X
  • 电子版ISSN:2161-7198
  • 出版年度:2021
  • 卷号:11
  • 期号:3
  • 页码:369-392
  • DOI:10.4236/ojs.2021.113022
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要:In this paper, we introduce a modification of the Quasi Lindley distribution which has various advantageous properties for the lifetime data. Several fundamental structural properties of the distribution are explored. Its density function can be left-skewed, symmetrical, and right-skewed shapes with various rages of tail-weights and dispersions. The failure rate function of the new distribution has the flexibility to be increasing, decreasing, constant, and bathtub shapes. A simulation study is done to examine the performance of maximum likelihood and moment estimation methods in its unknown parameter estimations based on the asymptotic theory. The potentiality of the new distribution is illustrated by means of applications to the simulated and three real-world data sets.
  • 关键词:Quasi Lindley Distribution;Mixture Distributions;Failure Rates;Tail-Weights;Parameter Estimation
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