Abstract
In a k (≥2) sample model, isotonic estimators of locations θ 1, …, θ k take into consideration the prior restraint that θ 1 ≤ ⋯ ≤ θ k . Though these estimators are appealling, they are generally biased. The union-intersection (UI-) principle and the theory of M-estimation of location are incorporated in the formulation of some robust, preliminary test, isotonic ( M−) estimators of locations. Associated distribution theory of the test statistic and estimator is studied in a systematic manner.
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