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Original Articles

Estimators of percentiles based on absolute loss

Pages 441-447 | Received 01 Mar 1982, Published online: 27 Jun 2007
 

Abstract

Estimators of percentiles of location and scale parameter distributions are optimized based on Pitman closeness and absolute risk. A median unbiased (MU) estimator and a minimum risk (MR) estimator are shown to exist within a class of estimators, and to depend upon the medians of two completely specified distributions.

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