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  • 标题:A NEW AND UNIFIED APPROACH IN GENERALIZING THE LINDLEY’S DISTRIBUTION WITH APPLICATIONS
  • 本地全文:下载
  • 作者:Lahsen Bouchahed ; Halim Zeghdoudi
  • 期刊名称:Statistics in Transition
  • 印刷版ISSN:1234-7655
  • 电子版ISSN:2450-0291
  • 出版年度:2018
  • 卷号:19
  • 期号:1
  • 页码:61-74
  • DOI:10.21307/stattrans-2018-004
  • 出版社:Exeley Inc.
  • 摘要:This paper proposes a new family of continuous distributions with one extra shape parameter called the generalized Zeghdoudi distributions (GZD). We investigate the shapes of the density and hazard rate function. We derive explicit expressions for some of its mathematical quantities. Various statistical properties like stochastic ordering, moment method, maximum likelihood estimation, entropies and limiting distribution of extreme order statistics are established. We prove the flexibility of the new family by means of applications to several real data sets.
  • 关键词:Lindley distribution;exponential distribution;Gamma distribution;stochastic ordering;maximum-likelihood estimation
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