In the life testing experiment and reliability engineering doubly type-II censored scheme is an important sampling scheme. In the present commutation, we have considered estimating ordered scale parameters of two exponential distributions based on doubly type-II censored samples. For this estimation problem, we have considered a general scale invariant loss function. We have obtained several estimators using \cite{stein1964} techniques that improve upon the BAEE. Also we have obtained estimators which improve upon the restricted MLE. A class of improved estimators has been derived using Kubokawa's IERD approach. It is shown that the boundary estimator of this class is generalized Bayes. As an application, we have also obtained improved estimators with respect to three special loss functions, namely quadratic loss, entropy loss, and symmetric loss function. We have applied these results to special life testing sampling schemes.

翻译：在寿命试验与可靠性工程中，双Ⅱ型截尾方案是一种重要的抽样方案。本文基于双Ⅱ型截尾样本，考虑对两个指数分布的有序尺度参数进行估计。针对此估计问题，我们采用了一般的尺度不变损失函数。运用 \cite{stein1964} 技术，我们得到了多个优于BAEE的估计量。同时，我们也获得了优于受限极大似然估计量（MLE）的估计量。利用Kubokawa的IERD方法，我们推导出了一类改进估计量。研究表明，该类估计量的边界估计量是广义贝叶斯估计量。作为应用，我们还针对三种特殊损失函数——二次损失、熵损失及对称损失函数——得到了相应的改进估计量。我们将这些结果应用于特定的寿命试验抽样方案中。