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Article

Boháčová, Hana
Insensitivity region for variance components in general linear model. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 47 (2008), issue 1, pp. 7-22
MSC: 62F10, 62J05 | MR 2482712 | Zbl 1165.62322
Keywords:
linear regression model; variance components; insensitivity region
Summary:
In linear regression models the estimator of variance components needs a suitable choice of a starting point for an iterative procedure for a determination of the estimate. The aim of this paper is to find a criterion for a decision whether a linear regression model enables to determine the estimate reasonably and whether it is possible to do so when using the given data.
References:
[1] Boháčová H., Heckenbergerová J.: Insensitivity regions for fixed effects parameters in mixed linear model with type I constraints and calculation problems linked with them. In: Forum Statisticum Slovacum 6/2007, ISSN 1336-7420, (in Czech).
[2] Ebel S., Alert D., Schaefer U.: Calibration in TLC/HPTLC using the Michaelis-Menten function. Chromatographia 1/1984.
[3] Humak K. M. S.: Statistischen Methoden der Modellbildung Band I, Statistische Inferenz für lineare Parameter. : Akademie–Verlag, Berlin. 1977. MR 0464503
[4] Kubáček L., Kubáčková L.: Statistika a metrologie. : Vyd. University Palackáho, Olomouc. 2000.
[5] Rao C. R., Kleffe J.: Estimation of Variance Components, Application. : North-Holland, Amsterdam–New York–Oxford–Tokyo. 1988. MR 0933559
[6] Rényi A.: Probability theory. : Akadémiai Kiadó, Budapest. 1970.
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