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:暂无翻译