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The log-normal modified Weibull distribution and its reliability implications

机译：对数正态修正的Weibull分布及其可靠性

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摘要

This paper introduces a new lifetime distribution to describe and analyze monotone, upside-down bathtub, bathtub-shaped and modified bathtub-shaped failure rates. An important property of the new distribution is that it can have a bathtub-shaped failure rate function with a long flat region, which may be very useful in reliability contexts. Some structural properties of the new model are obtained, and a detailed study of its mean residual life function is provided. In particular, we focus on the fundamental associations between the failure rate and mean residual life regarding their change points. The maximum likelihood method is used to estimate the model parameters. The usefulness of the new distribution is illustrated by means of empirical applications to three real datasets from engineering reliability in order to prove its versatility in practice.
机译：本文介绍了一种新的寿命分布，用于描述和分析单调，倒置浴缸，浴缸形和改进的浴缸形故障率。新发行版的一个重要属性是，它可以具有浴缸形状的故障率函数，该函数具有较长的平坦区域，这在可靠性方面可能非常有用。获得了新模型的一些结构特性，并提供了其平均剩余寿命函数的详细研究。特别是，我们关注故障率与平均剩余寿命有关的变化点之间的基本关联。最大似然法用于估计模型参数。通过从工程可靠性对三个真实数据集的经验应用来说明新分布的有效性，以证明其在实践中的多功能性。

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