Estimation of location amd scale parameters - a compromise

Abstract

A class of limited deviation estimatorsis developed for use in, the location and scale paramater Problems. A restaint is imposed on maximum daviation of the estimator from the Minimax estimator and, subject this restraint, The Bayas rule is fallowed as closely as Possible. The rssulting class of estimators maintains good performance with raspect to the Bayes criterion and the same time has the advantage of possessing bounded risk functions.

Keywords:

• estimation
• minimax
• Bayes
• location parameter
• scale parameter
• limited deveation
• relevance function