Department of Mathematics, The University of Jordan, Amman, Jordan.
PLoS One. 2022 Nov 15;17(11):e0277514. doi: 10.1371/journal.pone.0277514. eCollection 2022.
In this article, we compare the maximum likelihood estimate (MLE) and the maximum product of spacing estimate (MPSE) of a stress-strength reliability model, θ = P(Y < X), under adaptive progressive type-II progressive hybrid censoring, when X and Y are independent random variables taken from the inverse Weibull distribution (IWD) with the same shape parameter and different scale parameters. The performance of both estimators is compared, through a comprehensive computer simulation based on two criteria, namely bias and mean squared error (MSE). To demonstrate the effectiveness of our proposed methods, we used two examples of real-life data based on Breakdown Times of an Insulated Fluid by (Nelson, 2003) and Head and Neck Cancer Data by (Efron, 1988). It is concluded that the MPSE method outperformed the MLE method in terms of bias and MSE values.
在本文中，我们比较了在自适应逐次Ⅱ型混合截尾下，应力-强度可靠性模型的最大似然估计（MLE）和最大间隔乘积估计（MPSE），其中θ=P(Y < X)，X 和 Y 是独立的取自逆 Weibull 分布（IWD）的随机变量，形状参数相同，尺度参数不同。通过基于两个标准（偏差和均方误差（MSE））的全面计算机模拟比较了这两个估计量的性能。为了证明我们提出的方法的有效性，我们使用了两个基于绝缘液体的击穿时间（Nelson，2003）和头颈部癌症数据（Efron，1988）的实际数据的例子。结果表明，在偏差和 MSE 值方面，MPSE 方法优于 MLE 方法。
