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文章基本信息

  • 标题:On Some Properties of Quasi-Negative-Binomial Distribution and Its Applications
  • 本地全文:下载
  • 作者:Hassan, Anwar ; Bilal, Sheikh
  • 期刊名称:Journal of Modern Applied Statistical Methods
  • 出版年度:2008
  • 卷号:7
  • 期号:2
  • 页码:26
  • 出版社:Wayne State University
  • 摘要:The quasi-negative-binomial distribution was applied to queuing theory for determining the distribution of total number of customers served before the queue vanishes under certain assumptions. Some structural properties (probability generating function, convolution, mode and recurrence relation) for the moments of quasi-negative-binomial distribution are discussed. The distribution’s characterization and its relation with other distributions were investigated. A computer program was developed using R to obtain ML estimates and the distribution was fitted to some observed sets of data to test its goodness of fit.
  • 关键词:Simultaneous quasi-negative-binomial distribution; Borel-Tanner distribution; probability generating function; convolution property; characterization; chi-square fitting
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