Estimation in universal models with restrictions

• Autorzy: Eva Fišerová
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

universal linear model with restrictions; unbiased estimator

Kategorie tematyczne

• 62J05: Linear regression
• 62F30: Inference under constraints
• 62F10: Point estimation

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae Probability and Statistics
• Rocznik: 2004
• Tom: 24
• Numer: 2
• Strony: 233-253

Daty

wydano

2004

otrzymano

2004-03-07

Twórcy

autor

Eva Fišerová

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

Bibliografia

• [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.

Identyfikatory

DOI

10.7151/dmps.1055