Abstract
Information measures of reliability systems has been widely studied in the statistical and reliability literatures. These findings were obtained when lifetimes of components are independent and identically distributed. But, there is no context about the information properties of such systems when lifetimes of components are dependent. In this paper, we explore properties of the entropy and Kullback–Leibler discrimination information for series and parallel system’s lifetimes when lifetimes of components are dependent and identically distributed. Specifically, we give some results on the entropy of series systems when lifetimes of components are positive or negative quadrant dependence. Moreover, several results are obtained about the entropy ordering properties related to other well known stochastic orders. To illustrate the quality of the given results, some examples are also given.
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The author thank the editor-in-chief, the associate editor, and the anonymous reviewers for their useful comments on the earlier version of this paper.
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Toomaj, A. On the effect of dependency in information properties of series and parallel systems. Stat Methods Appl 26, 419–435 (2017). https://doi.org/10.1007/s10260-016-0371-x
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DOI: https://doi.org/10.1007/s10260-016-0371-x