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ArticleOriginal scientific text

Title

Estimation in universal models with restrictions

Authors 1

Affiliations

  1. Department of Mathematical Analysis and Applied Mathematics, Faculty of Science, Palacký University, Tomkova 40, 779 00 Olomouc, Czech Republic

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.

Keywords

ENG
universal linear model with restrictions, unbiased estimator

Bibliography

  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.
Discussiones Mathematicae Probability and Statistics
2004/24/2
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Pages:
233-253
Main language of publication
English
Received
2004-03-07
Published
2004

DOI: 10.7151/dmps.1055

Exact and natural sciences