Estimation of order restricted location parameters of multiple exponential distributions

摘要

Assume that independent random samples are drawn from k populations which follow two-parameter exponential distributions with unknown location and scale parameters. Two step-by-step exchange methods are given, which generalize the e8timationmethod in the case of two samples. The proposed estimators of the ordered location parameters are compared via simulation under the mean square error criterion. The result indicates the high effectiveness of the newly proposed methods.