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  • 标题:The Poisson Topp Leone Generator of Distributions for Lifetime Data Theory, Characterizations and Applications
  • 本地全文:下载
  • 作者:Faton Merovci ; Haitham Yousof ; G. G Hamedani
  • 期刊名称:Pakistan Journal of Statistics and Operation Research
  • 印刷版ISSN:2220-5810
  • 出版年度:2020
  • 卷号:16
  • 期号:2
  • 页码:343-355
  • DOI:10.18187/pjsor.v16i2.3230
  • 语种:English
  • 出版社:College of Statistical and Actuarial Sciences
  • 摘要:We study a new family of distributions defined by the minimum of the Poisson random number of independent identically distributed random variables having a Topp Leone-G distribution (see Rezaei et al., (2016)). Some mathematicalproperties of the new family including ordinary and incomplete moments, quantile and generating functions, mean deviations, order statistics, reliability and entropies are derived. Maximum likelihood estimation of the model parameters is investigated. Some special models of the newfamily are discussed. An application is carried out on  real data set applications sets to show the potentiality of the proposed family.
  • 关键词:Topp Leone-G Family;Order Statistics;Maximum Likelihood Estimation;Quantile function;Generating Function;Moments
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