Title: On Inference of Weitzman Overlapping Coefficient in Two Weibull Distributions Show Chinese title

Title: 关于两个威布尔分布中Weitzman重叠系数的推断

Abstract: Studying overlapping coefficients has recently become of great benefit, especially after its use in goodness-of-fit tests. These coefficients are defined as the amount of similarity between two statistical distributions. This research examines the estimation of one of these overlapping coefficients, which is the Weitzman coefficient {\Delta}, assuming two Weibull distributions and without using any restrictions on the parameters of these distributions. We studied the relative bias and relative mean square error of the resulting estimator by implementing a simulation study. The results show the importance of the resulting estimator. Show Chinese abstract

Abstract: 研究重叠系数最近变得非常有益，尤其是在其用于拟合优度检验之后。 这些系数被定义为两个统计分布之间的相似性程度。 本研究考察了其中一个重叠系数的估计，即Weitzman系数{\Delta }，假设两个威布尔分布，并且不对其参数施加任何限制。 我们通过实施一个模拟研究来研究所得估计量的相对偏差和相对均方误差。 结果表明了所得估计量的重要性。