چکیده

Recently a measure of information called Jensen-Shannon (JS) information was used to compare the coherent systems in reliability theory. JS is defined based on the notion of the vector of signature of coherent systems. The signature of a coherent system with n components is an n-dimensional vector whose ith element is the probability that the ith failure of the components is fatal to the system. JS information use to compare the coherent systems in terms of their complixity and ranks systems based on their designs. In this paper we present the cumulative Jensen-Shannon (CJS) information as an alternative criteria to compare the coherent systems. Also we show some properties of the mentioned measure and present an upper bound for CJS in terms of cumulative Kullback-Leibler information.

کليدواژه ها

uncertainty Jensen-Shannon information cumulative Jensen-Shannon coherent system order statistics signature divergence

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یونس زهره‌وند , 1400 , Cumulative Jensen Shannon information , اولین کنفرانس بین المللی ریاضیات و کاربردها