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A general approach to the shape of failure rate and MRL functions

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  • Jie Mi

Abstract

Failure rate and mean residual life are two important characteristics for studying reliability of products. In literature, some work studied the shape of failure rate function based on the knowledge of the associated probability density function; some other work investigated the shape of mean residual life function based on the shape of the associated failure rate function separately for continuous case and discrete case. In this article, a general approach is developed which can be applied to the aforementioned studies. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004

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  • Jie Mi, 2004. "A general approach to the shape of failure rate and MRL functions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(4), pages 543-556, June.
    • Handle: RePEc:wly:navres:v:51:y:2004:i:4:p:543-556
    DOI: 10.1002/nav.20014
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    References listed on IDEAS

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    1. Bekker, Leonid & Mi, Jie, 2003. "Shape and crossing properties of mean residual life functions," Statistics & Probability Letters, Elsevier, vol. 64(3), pages 225-234, September.
    2. Jie Mi, 1993. "Discrete bathtub failure rate and upside‐down bathtub mean residual life," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(3), pages 361-371, April.
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