利用记录比较两种韦布尔分布的形状参数：一种推广的推论
Comparing the Shape Parameters of Two Weibull Distributions Using Records: A Generalized Inference
摘要：
韦布尔分布是一种非常适用于寿命数据的模型。在利用记录推断两个韦布尔分布时，通常认为两个分布的形状参数相等。然而，在文献中没有一个合适的方法来比较形状参数。因此，比较两种韦布尔分布的形状参数是非常重要的。利用广义{ \it p}-值和广义置信区间的概念，提出了一种构造形状参数比值和差值的置信区间和检验假设的方法.仿真研究表明，我们的方法是令人满意的。最后给出了一个实例来说明该方法。
英文摘要：
The Weibull distribution is a very applicable model for the lifetime data. For inference about two Weibull distributions using records, the shape parameters of the distributions are usually considered equal. However, there is not an appropriate method for comparing the shape parameters in the literature. Therefore, comparing the shape parameters of two Weibull distributions is very important. In this paper, we propose a method for constructing confidence interval and testing hypotheses about the ratio and difference of shape parameters using the concept of the generalized {\it p}-value and the generalized confidence interval. Simulation studies showed that our method is satisfactory. In the end, a real example is proposed to illustrate this method.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
