平均剩余寿命的极限行为
Limiting Behaviour of the Mean Residual Life
摘要:
在生存或可靠性研究中,平均剩余寿命或预期寿命是模型的一个重要特征。在这里,我们研究的平均剩余寿命的限制行为,并推导出一个渐近展开,可以用来获得一个很好的近似值的时间变量的大值。渐近展开对相当一般的一类故障率分布是有效的--也许是可以预期的最大的一类,因为这些项只依赖于故障率及其导数。
英文摘要:
In survival or reliability studies, the mean residual life or life expectancy is an important characteristic of the model. Here, we study the limiting behaviour of the mean residual life, and derive an asymptotic expansion which can be used to obtain a good approximation for large values of the time variable. The asymptotic expansion is valid for a quite general class of failure rate distributions--perhaps the largest class that can be expected given that the terms depend only on the failure rate and its derivatives.
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