Hypothesis designs for three-hypothesis test problems (Q980599)

Summary: As a helpful guide for applications, in this paper alternative hypotheses of the three-hypotheses test problems are designed under the required error probabilities and average sample number. The asymptotic formulas and the proposed numerical quadrature formulas are adopted, respectively, to obtain the hypotheses designs and the corresponding sequential test schemes under the Koopman-Darmois distributions. The example of the normal mean test shows that our methods are quite efficient and satisfactory for practical uses.