Improved estimation of common location of two exponential populations with order restricted scale parameters using censored samples

摘要

Estimation of common location parameter of two exponential populations is considered when the scale parameters are ordered using type-II censored samples. A general inadmissibility result is proved which helps in deriving improved estimators. Further, a class of estimators dominating the MLE has been derived by an application of integrated expression of risk difference (IERD) approach of Kubokawa. A discussion regarding extending the results to a general k(= 2) populations has been done. Finally, all the proposed estimators are compared through simulation.