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  • 标题:Bivariate generalized cumulative residual entropy
  • 作者:G. Rajesh ; E. I. Abdul-Sathar ; K. V. Reshmi
  • 期刊名称:Sankhya. Series A, mathematical statistics and probability
  • 印刷版ISSN:0976-836X
  • 电子版ISSN:0976-8378
  • 出版年度:2014
  • 卷号:76
  • 期号:1
  • 页码:101-122
  • DOI:10.1007/s13171-013-0031-2
  • 语种:English
  • 出版社:Indian Statistical Institute
  • 摘要:The Generalized Cumulative Entropy for residual life time (GCRE), introduced by Kumar and Taneja (Statist Probab Lett 81:1072–1077, 2011 ), is viewed as a dynamic measure of uncertainty. The present paper addresses the question of extending this measure to higher dimensions and study its properties. It is shown that the proposed measure uniquely determines the distribution. We use this measure to characterize some bivariate lifetime models. Further, we define a new classes of life distributions using this measure and various properties of these classes are also studied.
  • 关键词:Generalized cumulative residual entropy ; characterization ; stochastic ordering
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