Estimation in universal models with restrictions
Discussiones Mathematicae. Probability and Statistics, Tome 24 (2004) no. 2, pp. 233-253

Voir la notice de l'article provenant de la source Library of Science

In modelling a measurement experiment some singularities can occur even if the experiment is quite standard and simple. Such an experiment is described in the paper as a motivation example. It is presented in the papar how to solve these situations under special restrictions on model parameters. The estimability of model parameters is studied and unbiased estimators are given in explicit forms.
Keywords: universal linear model with restrictions, unbiased estimator
Fišerová, Eva. Estimation in universal models with restrictions. Discussiones Mathematicae. Probability and Statistics, Tome 24 (2004) no. 2, pp. 233-253. http://geodesic.mathdoc.fr/item/DMPS_2004_24_2_a4/
@article{DMPS_2004_24_2_a4,
     author = {Fi\v{s}erov\'a, Eva},
     title = {Estimation in universal models with restrictions},
     journal = {Discussiones Mathematicae. Probability and Statistics},
     pages = {233--253},
     year = {2004},
     volume = {24},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMPS_2004_24_2_a4/}
}
TY  - JOUR
AU  - Fišerová, Eva
TI  - Estimation in universal models with restrictions
JO  - Discussiones Mathematicae. Probability and Statistics
PY  - 2004
SP  - 233
EP  - 253
VL  - 24
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/DMPS_2004_24_2_a4/
LA  - en
ID  - DMPS_2004_24_2_a4
ER  - 
%0 Journal Article
%A Fišerová, Eva
%T Estimation in universal models with restrictions
%J Discussiones Mathematicae. Probability and Statistics
%D 2004
%P 233-253
%V 24
%N 2
%U http://geodesic.mathdoc.fr/item/DMPS_2004_24_2_a4/
%G en
%F DMPS_2004_24_2_a4

[1] L. Kubácek, L. Kubácková and J. Volaufová, Statistical Models with Linear Structures, Veda, Bratislava 1995.

[2] L. Kubácek and L. Kubácková, Nonsesitiveness regions in universal models, Math. Slovaca 50 (2) (2000), 219-240.

[3] L. Kubácek and L. Kubácková, Statistics and Metrology, VUP, Olomouc 2000 (in Czech).

[4] C.R. Rao and S.K. Mitra, Generalized Inverse of Matrices and its Applications, J. Wiley Sons, New York, London, Sydney, Toronto 1971.