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  • 标题:Shannon Information in K-records for Pareto-type Distributions
  • 本地全文:下载
  • 作者:Zohreh Zamani ; Mohsen Madadi
  • 期刊名称:Journal of Statistical Theory and Applications (JSTA)
  • 电子版ISSN:1538-7887
  • 出版年度:2018
  • 卷号:17
  • 期号:3
  • 页码:421-440
  • DOI:10.2991/jsta.2018.17.3.3
  • 语种:English
  • 出版社:Atlantis Press
  • 摘要:Pareto distributions provides models for many applications in the social, natural and physical sciences. In this paper, we derive the Shannon information contained in upper (lower) k-record values and associated k-record times of Pareto-type distributions for a finite sample of fixed size and for an inverse sampling plan. Properties of the Shannon information of the k-record values associated with Pareto-type distributions are investigated, both analytically and numerically.
  • 关键词:K-record values;K-record times;Shannon information;Digamma function;Zeta function;Differential entropy
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