Weak aging properties for coherent systems with statistically dependent component lifetimes |
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Authors: | Chen Li Xiaohu Li |
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Affiliation: | 1. School of Science, Tianjin University of Commerce, Tianjin, China;2. Department of Mathematical Sciences, Stevens Institute of Technology, Hoboken, New Jersey, USA |
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Abstract: | As a relevant topic in reliability theory, the preservation of aging properties under the formation of various coherent structures contributes to improving system performance through better structure design and more effective system maintenance. The classical research in this line usually focuses upon coherent systems with independent component lifetimes. Recently, some authors discussed the preservation of IFR, NBU, and DMRL in the setting of dependent component lifetimes. This paper further investigates sufficient conditions for coherent systems with dependent component lifetimes to preserve aging properties including NBUC, NBU (2), DMRL, and their dual versions. Some examples are presented to illustrate coherent structures and typical copula functions fulfilling the present sufficient conditions as well. |
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Keywords: | copula function DMRL domination function increasing convex order NBUC structure function submultiplicative |
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