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Sharp bounds on DMRL and IMRL classes of life distributions with specified mean

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  • Sengupta, Debasis
  • Das, Sudipta

Abstract

We obtain sharp upper and lower bounds for a reliability function with decreasing mean residual life (DMRL), in terms of its mean. The constructive proofs establish that the bounds are sharp. We also provide bounds for the IMRL class.

Suggested Citation

  • Sengupta, Debasis & Das, Sudipta, 2016. "Sharp bounds on DMRL and IMRL classes of life distributions with specified mean," Statistics & Probability Letters, Elsevier, vol. 119(C), pages 101-107.
    • Handle: RePEc:eee:stapro:v:119:y:2016:i:c:p:101-107
    DOI: 10.1016/j.spl.2016.07.013
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    References listed on IDEAS

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    1. Bengt Klefsjö, 1982. "The hnbue and hnwue classes of life distributions," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 29(2), pages 331-344, June.
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    3. Dickson, D. C. M., 2001. "Lundberg Approximations for Compound Distributions with Insurance Applications. By G. E. Willmot and X. S. Lin. (Springer, 2000)," British Actuarial Journal, Cambridge University Press, vol. 7(4), pages 690-691, October.
    4. Abouammoh, A. & El-Neweihi, E., 1986. "Clusure of the NBUE and DMRL classes under formation of parallel systems," Statistics & Probability Letters, Elsevier, vol. 4(5), pages 223-225, August.
    5. Cheng, Kan & He, Zongfu, 1989. "On proximity between exponential and DMRL distributions," Statistics & Probability Letters, Elsevier, vol. 8(1), pages 55-57, May.
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    Cited by:

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    2. Khan, Ruhul Ali & Bhattacharyya, Dhrubasish & Mitra, Murari, 2021. "On some properties of the mean inactivity time function," Statistics & Probability Letters, Elsevier, vol. 170(C).

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