Estimation in universal models with restrictions

Eva Fišerová

Discussiones Mathematicae Probability and Statistics (2004)

  • Volume: 24, Issue: 2, page 233-253
  • ISSN: 1509-9423

Abstract

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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.

How to cite

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Eva Fišerová. "Estimation in universal models with restrictions." Discussiones Mathematicae Probability and Statistics 24.2 (2004): 233-253. <http://eudml.org/doc/287625>.

@article{EvaFišerová2004,
abstract = {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.},
author = {Eva Fišerová},
journal = {Discussiones Mathematicae Probability and Statistics},
keywords = {universal linear model with restrictions; unbiased estimator; universal linear models with restrictions; unbiased estimators},
language = {eng},
number = {2},
pages = {233-253},
title = {Estimation in universal models with restrictions},
url = {http://eudml.org/doc/287625},
volume = {24},
year = {2004},
}

TY - JOUR
AU - Eva Fišerová
TI - Estimation in universal models with restrictions
JO - Discussiones Mathematicae Probability and Statistics
PY - 2004
VL - 24
IS - 2
SP - 233
EP - 253
AB - 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.
LA - eng
KW - universal linear model with restrictions; unbiased estimator; universal linear models with restrictions; unbiased estimators
UR - http://eudml.org/doc/287625
ER -

References

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  1. [1] L. Kubácek, L. Kubácková and J. Volaufová, Statistical Models with Linear Structures, Veda, Bratislava 1995. 
  2. [2] L. Kubácek and L. Kubácková, Nonsesitiveness regions in universal models, Math. Slovaca 50 (2) (2000), 219-240. Zbl0984.62040
  3. [3] L. Kubácek and L. Kubácková, Statistics and Metrology, VUP, Olomouc 2000 (in Czech). Zbl0959.62128
  4. [4] C.R. Rao and S.K. Mitra, Generalized Inverse of Matrices and its Applications, J. Wiley & Sons, New York, London, Sydney, Toronto 1971. Zbl0236.15004

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