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

Debasis Sengupta and Sudipta Das

Statistics & Probability Letters, 2016, vol. 119, issue C, 101-107

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.

Keywords: IFR; NBUE; Reliability bound; Mean residual life function; Reliability function (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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DOI: 10.1016/j.spl.2016.07.013

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