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Keywords:
mixed linear model; model with variance components; nonsensitiveness region
mixed linear model; model with variance components; nonsensitiveness region
Summary:
Nonsensitiveness regions for estimators of linear functions, for confidence ellipsoids, for the level of a test of a linear hypothesis on parameters and for the value of the power function are investigated in a linear model with variance components. The influence of the design of an experiment on the nonsensitiveness regions mentioned is numerically demonstrated and discussed on an example.
References:
[1] L. Kubáček, L. Kubáčková: The effect of stochastic relations on the statistical properties of an estimator. Contr. Geoph. Inst. Slov. Acad. Sci. 17 (1987), 31–42.
[2] L. Kubáček: Foundations of Estimation Theory. Elsevier, Amsterdam-Oxford-New York-Tokyo, 1988. MR 0995671
[3] L. Kubáčková, L. Kubáček, M. Bognárová: Effect of changes of the covariance matrix parameters on the estimates of the first order parameters. Contr. Geoph. Inst. Slov. Acad. Sci. 20 (1990), 7–19.
[4] L. Kubáček, L. Kubáčková: Sensitiveness and non-sensitiveness in mixed linear models. Manuscripta geodaetica 16 (1991), 63–71.
[5] L. Kubáček: Criterion for an approximation of variance components in regression models. Acta Universitatis Palackianae Olomucensis, Fac. rer. nat., Mathematica 34 (1995), 91–108. MR 1447258
[6] L. Kubáček: Linear model with inaccurate variance components. Applications of Mathematics 41 (1996), 433–445. MR 1415250
[7] S. S. Wilks: Mathematical Statistics. J. Wiley & Sons, Inc., New York, London, 1962. MR 0144404 | Zbl 0173.45805
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