A new bathtub curve model with a finite support

A new bathtub curve model with a finite support
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一种新的有限支撑浴盆曲线模型

DOI:
10.1016/j.ress.2013.05.019
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发表时间:
2013-11
期刊:
Reliability Engineering & System Safety
影响因子:
--
通讯作者:
蒋仁言
蒋仁言
中科院分区:
其他
文献类型:
--
作者:
蒋仁言

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浴缸形状的故障率通常在磨损阶段增加得非常快。在这种情况下,有限支撑的浴盆曲线模型可以更好地适应故障率的急剧变化。有限支集的模型很少。本文提出了这样一个模型。然而,这种模型的位置参数的最大似然估计有时会收敛到数据集的最大观测值。针对最大似然法失效的情况,提出了一种扩展的最大间距法来估计参数。三个例子来说明所提出的模型和估计方法的适当性。
The failure rate with a bathtub shape usually increases very fast in the wear-out phase. In this case, the bathtub curve model with a finite support can better adapt the sharp change in failure rate. There are few models with the finite support. This paper presents such a model. However, the maximum likelihood estimator of the location parameter of such models sometimes converges to the largest observation of a dataset. An extended maximum spacing method is developed to estimate the parameters for the case where the maximum likelihood method fails. Three examples are included to illustrate the appropriateness of the proposed model and estimation method.
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