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Title: Estimation of dispersion in nonlinear regression models with constraints (English)
Author: Kubáček, Lubomír
Author: Tesaříková, Eva
Language: English
Journal: Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
ISSN: 0231-9721
Volume: 43
Issue: 1
Year: 2004
Pages: 75-86
Summary lang: English
Category: math
Summary: Dispersion of measurement results is an important parameter that enables us not only to characterize not only accuracy of measurement but enables us also to construct confidence regions and to test statistical hypotheses. In nonlinear regression model the estimator of dispersion is influenced by a curvature of the manifold of the mean value of the observation vector. The aim of the paper is to find the way how to determine a tolerable level of this curvature. (English)
Keyword: nonlinear regression model
Keyword: linearization
Keyword: estimation of dispersion
MSC: 62F10
MSC: 62H12
MSC: 62J02
MSC: 62J05
MSC: 65C60
idZBL: Zbl 1060.62067
idMR: MR2124605
Date available: 2009-08-21T12:54:22Z
Last updated: 2012-05-04
Stable URL:
Reference: [1] Bates D. M., Watts D. G.: Relative curvatures measures of nonlinearity.J. Roy. Statist. Soc. B 42 (1980), 1–25. MR 0567196
Reference: [2] Kubáček L., Kubáčková L.: Regression models with a weak nonlinearity.Technical report Nr. 1998.1, Universität Stuttgart, 1998, 1–67.
Reference: [3] Kubáček L., Kubáčková L.: Statistics, Metrology. : Vyd. Univ. Palackého, Olomouc., 2000 (in Czech).
Reference: [4] Kubáček L., Tesaříková E.: Confidence regions in nonlinear models with constraints.Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 42 (2003), 43–58. Zbl 1046.62065, MR 2056021
Reference: [5] Rao C. R., Mitra S. K.: Generalized Inverse of Matrices, its Applications. : J. Wiley & Sons, New York–London–Sydney–Toronto., 1971. MR 0338013
Reference: [6] Scheffé H.: The Analysis of Variance. : J. Wiley, New York., 1959. MR 0116429
Reference: [7] Tesaříková E., Kubáček L.: Estimators of dispersion in models with constraints (demoprogram).Department of Algebra and Geometry, Faculty of Science, Palacký University, Olomouc, 2003.


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