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  • ON EXTROPY PROPERTIES OF MIXED SYSTEMS

  • Guoxin Qiu, Lechen Wang, Xingyu Wang
  • Journal:
    Probability in the Engineering and Informational Sciences / Volume 33 / Issue 3 / July 2019
    Published online by Cambridge University Press:
    03 August 2018, pp. 471-486

  • An expression of the extropy of a mixed system's lifetime was given firstly. Based on this expression, two mixed systems with same signature but with different components were compared. It was shown that the extropy of lifetime of a mixed system equals to that of its dual system if the lifetimes of the components have symmetric probability density function. Moreover, some bounds of the extropy of lifetimes of mixed systems were obtained and the concept of Jensen–extropy (JE) divergence of mixed systems was proposed. The JE divergence is non-negative and it can be used as an alternative information criteria for comparing mixed systems with homogeneous components. To illustrate the applications of JE divergence, some examples are addressed at the end of this paper.