Percentile Residual Life Functions

Harry Joe and Frank Proschan
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Harry Joe: The Florida State University, Tallahassee, Florida
Frank Proschan: The Florida State University, Tallahassee, Florida

Operations Research, 1984, vol. 32, issue 3, 668-678

Abstract: The α-percentile (0 t is defined as the α-percentile of the remaining life given survival up to time t . (Note that α-percentile is used in place of 100 α-percentile.) Two classes of life distributions defined by the α-percentile residual life function are the decreasing α-percentile residual life (DPRL-α) class and the new better than used with respect to the α-percentile (NBUP-α) class. These two classes are, respectively, analogous to the well-known decreasing mean residual life (DMRL) class and the new better than used in expectation (NBUE) class that involve the mean residual life function. We obtain properties of the α-percentile residual life function and of the DPRL-α, NBUP-α and their dual classes. Some results differ notably from corresponding results for the mean residual life function.

Keywords: 725; residual; life; of; used; items (search for similar items in EconPapers)
Date: 1984
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Citations: View citations in EconPapers (8)

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