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Title: Insensitivity region for variance components in general linear model (English)
Author: Boháčová, Hana
Language: English
Journal: Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
ISSN: 0231-9721
Volume: 47
Issue: 1
Year: 2008
Pages: 7-22
Summary lang: English
Category: math
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. (English)
Keyword: linear regression model
Keyword: variance components
Keyword: insensitivity region
MSC: 62F10
MSC: 62J05
idZBL: Zbl 1165.62322
idMR: MR2482712
Date available: 2009-08-27T11:27:46Z
Last updated: 2012-05-04
Stable URL:
Reference: [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).
Reference: [2] Ebel S., Alert D., Schaefer U.: Calibration in TLC/HPTLC using the Michaelis-Menten function.Chromatographia 1/1984.
Reference: [3] Humak K. M. S.: Statistischen Methoden der Modellbildung Band I, Statistische Inferenz für lineare Parameter. : Akademie–Verlag, Berlin., 1977. MR 0464503
Reference: [4] Kubáček L., Kubáčková L.: Statistika a metrologie. : Vyd. University Palackáho, Olomouc., 2000.
Reference: [5] Rao C. R., Kleffe J.: Estimation of Variance Components, Application. : North-Holland, Amsterdam–New York–Oxford–Tokyo., 1988. MR 0933559
Reference: [6] Rényi A.: Probability theory. : Akadémiai Kiadó, Budapest., 1970.


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