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Properties of a Mean Residual Life Function Arising from Renewal Theory

机译:基于更新理论的平均剩余生命函数的性质

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摘要

The present article discusses the properties of the mean residual life function in a renewal process. We examine the relationship this function has with the failure rate function and the conventional mean, variance and coefficient of variation of residual life. We also discuss some monotonicity properties of the mean residual life function. A partial order based on the renewal mean residual function is introduced along with its interrelationship with some existing stochastic orders.
机译:本文讨论了更新过程中平均剩余寿命函数的性质。我们研究了该函数与故障率函数以及常规平均寿命,方差和剩余寿命变化系数之间的关系。我们还讨论了平均剩余寿命函数的一些单调性。介绍了基于更新平均残差函数的偏序及其与一些现有随机序的相互关系。

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