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|Title:||Mean residual life of lifetime distributions|
|Authors:||Tang, L.C. |
|Citation:||Tang, L.C., Lu, Y., Chew, E.P. (1999). Mean residual life of lifetime distributions. IEEE Transactions on Reliability 48 (1) : 73-78. ScholarBank@NUS Repository.|
|Abstract:||This paper characterizes the general behaviors of the MRL (mean residual lives) for both continuous & discrete lifetime distributions, with respect to their failure rates. For the continuous lifetime distribution with failure rates with only one or two change-points, the characteristic of the MRL depends only on its mean and failure rate at time zero. For failure rates with `roller coaster' behavior, the subsequent behavior of the MRL depends on its MRL and failure-rates at the change points. Using the characterization, their behaviors for the, Weibull, lognormal, Birnbaum-Saunders, inverse Gaussian, bathtub-failure-rate, distributions are tabulated in terms of their shape parameters. For discrete lifetime distributions, for upside-down bathtub-failure-rate with only one change point, the characteristic of the MRL depends only on its mean and the probability mass function at time zero.|
|Source Title:||IEEE Transactions on Reliability|
|Appears in Collections:||Staff Publications|
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