Linear model with nuisance parameters and with constraints on useful and nuisance parameters
Pavla Kunderová; Jaroslav Marek
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2006)
- Volume: 45, Issue: 1, page 109-118
- ISSN: 0231-9721
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topKunderová, Pavla, and Marek, Jaroslav. "Linear model with nuisance parameters and with constraints on useful and nuisance parameters." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 45.1 (2006): 109-118. <http://eudml.org/doc/32512>.
@article{Kunderová2006,
abstract = {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.},
author = {Kunderová, Pavla, Marek, Jaroslav},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Regular linear regression model; nuisance parameters; BLUE; constraints; regular linear regression model; nuisance parameters; BLUE},
language = {eng},
number = {1},
pages = {109-118},
publisher = {Palacký University Olomouc},
title = {Linear model with nuisance parameters and with constraints on useful and nuisance parameters},
url = {http://eudml.org/doc/32512},
volume = {45},
year = {2006},
}
TY - JOUR
AU - Kunderová, Pavla
AU - Marek, Jaroslav
TI - Linear model with nuisance parameters and with constraints on useful and nuisance parameters
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2006
PB - Palacký University Olomouc
VL - 45
IS - 1
SP - 109
EP - 118
AB - 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.
LA - eng
KW - Regular linear regression model; nuisance parameters; BLUE; constraints; regular linear regression model; nuisance parameters; BLUE
UR - http://eudml.org/doc/32512
ER -
References
top- Kubáček L., Kubáčková L., Volaufová J.: Statistical models with linear structures., Veda, Publishing House of the Slovak Academy of Sciences, Bratislava, 1995.
- Kubáček L., Kubáčková L.: Statistics, Metrology., Publishing House of Palacký University, Olomouc, 2000, (in Czech).
- 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. (1990) Zbl0709.62063MR1048807
- 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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