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锥约束下似然比检验的支配关系AI 解读

It is well known that anomalies are sometimes observed when using the likelihood ratio test (LRT) for testing restricted hypotheses in a normal model. This paper considers a general framework for these anomalies to occur. We provide a condition, that relates the null and the alternative hypotheses, under which the dominance of the LRT is obtained. Conditions are also given which guarantee the equivalence between the LRT and a simpler test. The situations of known and unknown…

受限假设检验中似然比检验的反常现象AI 解读

The first anomaly in the L.R.T. for testing restricted hypotheses was observed by Warrack and Robertson. They found the L.R.T. for testing an order restriction in a normal model to be dominated by a different test. In this paper we deal with a more general situation in which the L. R. T. for testing a face of an acute cone is dominated by a different test that does not take into account some of the information in the model.