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Title: Linear model with nuisance parameters and with constraints on useful and nuisance parameters (English)
Author: Kunderová, Pavla
Author: Marek, Jaroslav
Language: English
Journal: Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
ISSN: 0231-9721
Volume: 45
Issue: 1
Year: 2006
Pages: 109-118
Summary lang: English
Category: math
Summary: The properties of the regular linear model are well known (see [1], Chapter 1). In this paper the situation where the vector of the first order parameters is divided into two parts (to the vector of the useful parameters and to the vector of the nuisance parameters) is considered. It will be shown how the BLUEs of these parameters will be changed by constraints given on them. The theory will be illustrated by an example from the practice. (English)
Keyword: Regular linear regression model
Keyword: nuisance parameters
Keyword: BLUE
Keyword: constraints
MSC: 62F30
MSC: 62H12
MSC: 62J05
idZBL: Zbl 1117.62059
idMR: MR2321303
Date available: 2009-08-21T07:06:07Z
Last updated: 2012-05-04
Stable URL:
Reference: [1] Kubáček L., Kubáčková L., Volaufová J.: Statistical models with linear structures. : Veda, Publishing House of the Slovak Academy of Sciences, Bratislava.1995.
Reference: [2] Kubáček L., Kubáčková L.: Statistics, Metrology. : Publishing House of Palacký University, Olomouc.2000, (in Czech).
Reference: [3] Nordström K., Fellman J.: Characterizations and Dispersion-Matrix Robustness of Efficiently Estimable Parametric Functionals in Linear Models with Nuisance Parameters.Linear Algebra and its Applications 127 (1990), 341–361. Zbl 0709.62063, MR 1048807
Reference: [4] Korbašová M., Marek J.: Connecting Measurements in Surveying and its Problems.In: Proceedings of INGEO 2004 and FIG Regional Central and Eastern European Conference on Engineering Surveying, Bratislava, Slovakia, November 11–13, 2004.


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