Startseite Testing Statistical Hypotheses in Singular Weakly Nonlinear Regression Models
Artikel
Lizenziert
Nicht lizenziert Erfordert eine Authentifizierung

Testing Statistical Hypotheses in Singular Weakly Nonlinear Regression Models

  • Lubomír Kubáček EMAIL logo
Veröffentlicht/Copyright: 22. Mai 2015
Veröffentlichen auch Sie bei De Gruyter Brill

Abstract

Weakly nonlinear hypothesis on parameters in nonlinear regression models can be tested by methods of linear statistical models in some cases. Certain conditions must be satisfied. The aim of the paper is to find them for models without/with constraints on parameters.

References

[1] FIŠEROVÁ, E.-KUBÁČEK, L.-KUNDEROVÁ, P.: Linear Statistical Models; Regularity and Singularities, Academia, Praha, 2007.Suche in Google Scholar

[2] KUBÁČEK, L.-TESAŘÍKOVÁ, E.: Weakly Nonlinear Regression Models, Palacký University, Olomouc, 2008.Suche in Google Scholar

[3] KUBÁČEK, L.-TESAŘÍKOVÁ, E.: Linearization regions for a confidence ellipsoid in singular nonlinear regression models, Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 48 (2009), 73-82.Suche in Google Scholar

[4] KUBÁČEK, L.: Linearization regions in singular weakly nonlinear regression models with constraints, Math. Slovaca (Submitted).Suche in Google Scholar

[5] KUBÁČEK, L.: Confidence regions in singular weakly nonlinear regression models with constraints, Math. Slovaca (Submitted).Suche in Google Scholar

[6] PÁZMAN, A.-PRONZATO, L.: Asymptotic criteria for designs in nonlinear regression with model errors, Math. Slovaca 56 (2006), 543-553.Suche in Google Scholar

[7] RAO, C. R.-MITRA, S. K.: Generalized Inverse of Matrices and Its Applications, John Wiley & Sons, Inc., New York-London-Sydney-Toronto, 1971. Suche in Google Scholar

Received: 2011-11-22
Accepted: 2012-10-18
Published Online: 2015-5-22
Published in Print: 2015-4-1

© Mathematical Institute Slovak Academy of Sciences

Heruntergeladen am 21.9.2025 von https://www.degruyterbrill.com/document/doi/10.1515/ms-2015-0031/html?lang=de
Button zum nach oben scrollen