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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1055,
author = {Eva Fi\v serov\'a},
title = {Estimation in universal models with restrictions},
journal = {Discussiones Mathematicae Probability and Statistics},
volume = {24},
year = {2004},
pages = {233-253},
zbl = {1165.62309},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1055}
}
Eva Fišerová. Estimation in universal models with restrictions. Discussiones Mathematicae Probability and Statistics, Tome 24 (2004) pp. 233-253. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1055/
[000] [1] L. Kubácek, L. Kubácková and J. Volaufová, Statistical Models with Linear Structures, Veda, Bratislava 1995.
[001] [2] L. Kubácek and L. Kubácková, Nonsesitiveness regions in universal models, Math. Slovaca 50 (2) (2000), 219-240. | Zbl 0984.62040
[002] [3] L. Kubácek and L. Kubácková, Statistics and Metrology, VUP, Olomouc 2000 (in Czech). | Zbl 0959.62128
[003] [4] C.R. Rao and S.K. Mitra, Generalized Inverse of Matrices and its Applications, J. Wiley & Sons, New York, London, Sydney, Toronto 1971. | Zbl 0236.15004