On the odd Weibull distribution
On the odd Weibull distribution
复制标题
DOI：
10.1243/1748006xjrr168
复制
发表时间：
2008-12
期刊：
影响因子：
--
通讯作者：
H. Jiang;M. Xie;L. C. Tang
中科院分区：
文献类型：
--
作者：
H. Jiang;M. Xie;L. C. Tang
基于估计寿命变量的“死亡几率”分布的思想，Cooray提出的奇数威布尔分布最近被证明可用于检验威布尔分布和逆威布尔分布的拟合优度。该模型在模拟寿命数据方面也非常通用，因为它的故障率函数可以是递增、递减、恒定、浴缸形状和单峰的。本文对该分布的统计性质进行了详细的参数刻画。给出了不同模型参数下威布尔概率图的形状，并迭代了图解参数估计步骤。讨论了浴缸形故障率曲线的老化和有用周期相关问题。应用实例说明了该模型对实际数据的参数估计过程及其对两参数威布尔分布和其他几种三参数威布尔分布的较好的拟合度。
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.