A Further Look at the Comparison of Normal Percentile Estimators
Abstract
**Please note that the full text is embargoed** ABSTRACT: For the purpose of making a pairwise comparison of point estimators of normal percentiles, a twofold technique is introduced which basically examines ,(a) the "odds" in favor of an estimator being closer to the true value than is a competing estimator and (b) an estimator's average closeness to the true value when it is closer (as well as when it is not) than is a competing estimator. Closeness to the true value is measured through an absolute error loss function. Joint consideration of these concepts is shown to form a basis for determining which of two estimators is preferred in a given situation.