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Aging property of unimodal failure rate models

机译：单峰失效率模型的老化特性

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摘要

There is a family of statistical models, whose failure rate is unimodal or reverse bathtub shaped. For the situations where the failure is mainly caused by fatigue or corrosion, the time to failure is often represented by such models. This paper studies the aging property of such a class of models. It shows that a unimodal failure rate can be effectively viewed as increasing, decreasing, or constant, depending on the model parameters. Relevant quantitative measures are developed to identify to which case a given unimodal failure rate model belongs. Such two models, lognormal and inverse Weibull distributions, are analyzed.
机译：有一系列统计模型，其故障率是单峰或反向浴缸形。对于故障主要由疲劳或腐蚀引起的情况，故障时间通常由此类模型表示。本文研究了这类模型的老化特性。它表明，根据模型参数，可以有效地将单峰故障率视为增加，减少或恒定。开发了相关的量化措施来确定给定的单峰故障率模型属于哪种情况。分析了这两个模型，即对数正态分布和逆威布尔分布。

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