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linear model with inaccurate variance components; nonsensitiveness regions
The problem is to determine the optimum size of nonsensitiveness regions for the level of statistical tests. This is closely connected with the problem of the distribution of quadratic forms.
[1] J. P. Imhof: Computing the distribution of quadratic forms in normal variables. Biometrika 48 (1961), 419–426. DOI 10.1093/biomet/48.3-4.419 | MR 0137199 | Zbl 0136.41103
[2] J. Janko: Statistical Tables. Academia, Praha, 1958. (Czech) MR 0150924
[3] L.  Kubáček: Linear model with inaccurate variance components. Appl. Math. 41 (1996), 433–445. MR 1415250
[4] C. R. Rao: Statistical Inference and Its Applications. J. Wiley, New York-London-Sydney, 1965. MR 0221616 | Zbl 0137.36203
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