On the Theory of Unbiased Tests of Simple Statistical Hypotheses Specifying the Values of Two or More Parameters

作者：Stanley L. Isaacson · 发表于：The Annals of Mathematical Statistics · 年份：1951 · DOI：10.1214/aoms/1177729642 · 被引用次数：52 · 研究领域：Advanced Statistical Methods and Models、Statistical and Computational Modeling、Statistical Distribution Estimation and Applications

Unbiased critical regions of type D for testing simple hypotheses specifying the values of several parameters are defined and their properties studied. These regions constitute a natural generalization of the Neyman-Pearson regions of type A for testing simple hypotheses specifying the value of one parameter. A theorem is obtained which plays the role of the Neyman-Pearson fundamental lemma in the type A case. Illustrative examples of type D regions are given.