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Discrete bathtub failure rate and upside‐down bathtub mean residual life

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  • Jie Mi

Abstract

The concepts of a bathtub‐shaped failure rate and upside‐down bathtub‐shaped mean residual life for discrete lifetime distributions are considered. The relationship between these concepts is established. The discrete counterparts of IFRA and DFRA classes discussed in the continuous case are combined into the class of a bathtub‐shaped failure rate average. The relationship between bathtub‐shaped failure rate and bathtub‐shaped failure rate average is also given. © 1993 John Wiley & Sons, Inc.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:40:y:1993:i:3:p:361-371
    DOI: 10.1002/1520-6750(199304)40:33.0.CO;2-I
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    Cited by:

    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. Unnikrishnan Nair, N. & Asha, G., 1997. "Some Classes of Multivariate Life Distributions in Discrete Time," Journal of Multivariate Analysis, Elsevier, vol. 62(2), pages 181-189, August.
    3. 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.
    4. Refik Soyer & Feng Xu, 2010. "Assessment of mortgage default risk via Bayesian reliability models," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 26(3), pages 308-330, May.

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