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残余寿命熵的上界

Upper-Bounds of Residual Lifetime Entropy
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摘要 讨论寿命分布混合的类不变性问题,改进了文[1]中的相关结果.此外,基于寿命分布类的特性研究了不同于[4]的另一类残余寿命熵的特性,并在一定的条件下得到残余寿命熵的上界. The class-invariance of mixture of lifetime-distributions is discussed to get the improvements of relative results in [1]. In addition, based on the properties of classes of lifetime-distributions, the another class of residual lifetime entropy are studied by using the residual lifetime-distribution different to one in [4], and upper-bounds of residual lifetime entropy under some constraint conditions are obtained.
作者 胡必锦
出处 《大学数学》 2009年第1期138-143,共6页 College Mathematics
基金 重庆市教委基础/应用基础项目(KJ060416)
关键词 寿命分布类 混合分布 残余熵 类不变性 上界 classes of life distributions mixtures of distributions residual entropy class-invariance upper bounds
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参考文献6

  • 1Stoyanov J, etc. Properties of classes of live distribution based on the conditional variance[J]. J. Appl. Prob. 2004, 41:953--960.
  • 2M Ross S M, etc. On increasing-failure-rate random variables[J]. J. Appl. Prob. 2005, 42: 797--809.
  • 3Bon J L,etc. Ageing properties and series systems[J]. J. Appl. Prob. 2005,42:279--286.
  • 4Rao M, etc. Cumulative residual entropy: A new measure of information[J].IEEE Trans on Information Theory, 2004, 50: 1220--1228.
  • 5Rausand M, etc. System reliability theory: models, statistical methods, and application[M]. Wiley-Interscience, 2004.
  • 6Arndt C. Information measures: information and its description in science and engineering[M]. Springer-Verlag, 2001.

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