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Selective \(F\) tests for sub-normal models. (English) Zbl 1049.62066

Summary: \(F\) tests that are specially powerful for selected alternatives are built for sub-normal models. In these models the observation vector is the sum of a vector that stands for what is measured with a normal error vector, both vectors being independent. The results presented generalize the treatment given by G. C. Dias [Selective \(F\) tests. Trabalhos de Investigaçao. (1994; Zbl 0834.62050)] for normal fixed-effects models, and consider the testing of hypothesis on the ordering of mean values and components.

MSC:

62H15 Hypothesis testing in multivariate analysis
62F03 Parametric hypothesis testing
62J99 Linear inference, regression

Citations:

Zbl 0834.62050
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