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Some results on information properties of coherent systems

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  • Abdolsaeed Toomaj
  • Antonio Di Crescenzo
  • Mahdi Doostparast

Abstract

This paper considers information properties of coherent systems when component lifetimes are independent and identically distributed. Some results on the entropy of coherent systems in terms of ordering properties of component distributions are proposed. Moreover, various sufficient conditions are given under which the entropy order among systems as well as the corresponding dual systems hold. Specifically, it is proved that under some conditions, the entropy order among component lifetimes is preserved under coherent system formations. The findings are based on system signatures as a useful measure from comparison purposes. Furthermore, some results on the system's entropy are derived when lifetimes of components are dependent and identically distributed. Several illustrative examples are also given.

Suggested Citation

  • Abdolsaeed Toomaj & Antonio Di Crescenzo & Mahdi Doostparast, 2018. "Some results on information properties of coherent systems," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 34(2), pages 128-143, March.
    • Handle: RePEc:wly:apsmbi:v:34:y:2018:i:2:p:128-143
    DOI: 10.1002/asmb.2277
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