Abstract
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.
Citation
Stanley L. Isaacson. "On the Theory of Unbiased Tests of Simple Statistical Hypotheses Specifying the Values of Two or More Parameters." Ann. Math. Statist. 22 (2) 217 - 234, June, 1951. https://doi.org/10.1214/aoms/1177729642
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