Garren, Steven T. - In: Statistics & Decisions 21 (2003) 4, pp. 367-380
Abstract Suppose mutually independent observations are drawn from absolutely continuous, unimodal, symmetric distributions with an order restriction on the medians, μ 0 ≤ min{ μ 1 , μ 2 ,..., μ m }. An isotonic regression estimator is shown to stochastically dominate the marginal sample...