A note on signature-based expressions for the entropy of mixed r-out-of- n systems

作者：Toomaj Abdolsaeed; Doostparast Mahdi^*

来源：Naval Research Logistics, 2014, 61(3): 202-206.

DOI：10.1002/nav.21577

• Kullback-Leibler information measure
• entropy
• system signature

We provide an expression for the Shannon entropy of mixed r-out-of- n systems when the lifetimes of the components are independent and identically distributed. The expression gives the system's entropy in terms of the system signature, the distribution and density functions of the lifetime model, and the information measures of the beta distribution. Bounds for the system's entropy are obtained by direct applications of the concavity of the entropy and the information inequality.

• 出版日期2014-4