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ORDER RESTRICTED TESTS FOR SYMMETRY AGAINST POSITIVE BIASEDNESS  

Oh, Myong-Sik (Department of Statistics, Pusan University of Foreign Studies)
Publication Information
Journal of the Korean Statistical Society / v.36, no.3, 2007 , pp. 335-347 More about this Journal
Abstract
Two new types of positive biasedness, which are closely related to Type III positive biasedness (Yanagimoto and Sibuya, 1972), are proposed. We call these near Type III positive biasedness. Though no implication between Type II and near Type III biasedness exists, near Type III seems to be less restrictive than Type II biasedness. Constrained maximum likelihood estimates of distribution functions under near Type III positive bisedness are obtained. The likelihood ratio tests of symmetry against new positive biasedness restrictions are proposed. A small simulation study is conducted to compare the performance of the tests.
Keywords
Chi-bar squared distribution; isotonic regression; order restricted inference; positive biasedness; stochastic ordering.;
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