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Some closure properties of right spread order

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Abstract

It is proved that the right spread order is closed under the formation of parallel systems with independent and identical components. As an application, the simple upper bounds for both the mean and the variance of the life length of a parallel system with independent and identical NBUE components are obtained. Furthermore, it is proved that the right spread order is also closed under increasing convex transformations under some conditions.

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Authors and Affiliations

  1. Dept. of Math., Hexi Univ., 734000, Gansu, China

    Kang Diantong

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  1. Kang Diantong
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Diantong, K. Some closure properties of right spread order. Appl. Math.- J. Chin. Univ. 21, 234–242 (2006). https://doi.org/10.1007/BF02791349

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  • DOI: https://doi.org/10.1007/BF02791349

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