Mean residual life of lifetime distributions
Mean residual life of lifetime distributions
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DOI：
10.1109/24.765930
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发表时间：
1999-03
影响因子：
5.9
通讯作者：
L. Tang;Yuan Lu;E. P. Chew
中科院分区：
文献类型：
--
作者：
L. Tang;Yuan Lu;E. P. Chew
本文描述了连续和离散寿命分布的平均剩余寿命（MRL）相对于其失效率的一般行为。对于只有一个或两个变点的失效率的连续寿命分布，平均剩余寿命的特性仅取决于其均值以及在时间为零时的失效率。对于具有“过山车”行为的失效率，平均剩余寿命的后续行为取决于其在变点处的平均剩余寿命和失效率。利用该特性，针对威布尔分布、对数正态分布、伯恩鲍姆 - 桑德斯分布、逆高斯分布以及浴盆失效率分布，根据其形状参数将它们的行为制成表格。对于只有一个变点的倒浴盆失效率的离散寿命分布，平均剩余寿命的特性仅取决于其均值以及在时间为零时的概率质量函数。
This paper characterizes the general behaviors of the MRL (mean residual lives) for both continuous and 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; and 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.