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首页> 外文期刊>Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability >On the odd Weibull distribution
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On the odd Weibull distribution

机译：关于奇数威布尔分布

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摘要

Based on the idea of evaluating the distribution of the ‘odds of death’ of a lifetime variable, the odd Weibull distribution proposed by Cooray has recently been shown to be useful for testing the goodness of fit of the Weibull and inverse Weibull distributions. The model is also very versatile in modelling lifetime data in that its failure rate function can be increasing, decreasing, constant, bathtub shaped, and unimodal. In this paper, a detailed parametric characterization of the statistical properties of this distribution is carried out. The shapes of the Weibull probability plot with different model parameters are presented and the graphic parameter estimation steps are iterated. Burn-in and useful period-related issues of the bathtub-shaped failure rate curve are discussed. An application example is shown to illustrate the parameter estimation procedure and the superior fit of the model for some real data to the two-parameter Weibull distribution and some other three-parameter Weibull-related distributions.
机译：基于评估一生变量的“死亡几率”分布的思想，最近证明了Cooray提出的奇数Weibull分布可用于测试Weibull和反Weibull分布的拟合优度。该模型在建模寿命数据方面也非常通用，因为其故障率函数可以增加，减小，恒定，呈浴缸形和单峰。在本文中，对该分布的统计特性进行了详细的参数表征。给出了具有不同模型参数的威布尔概率图的形状，并迭代了图形参数估计步骤。讨论了浴缸形故障率曲线的老化和与有效期有关的问题。给出了一个应用示例，以说明参数估计过程以及该模型对某些实际数据与两参数威布尔分布和其他三参数威布尔相关分布的优越拟合。

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