Geodesic
Tests in weakly nonlinear regression model
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 44 (2005) no. 1, pp. 49-55

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In weakly nonlinear regression model a weakly nonlinear hypothesis can be tested by linear methods if an information on actual values of model parameters is at our disposal and some condition is satisfied. In other words we must know that unknown parameters are with sufficiently high probability in so called linearization region. The aim of the paper is to determine this region.
In weakly nonlinear regression model a weakly nonlinear hypothesis can be tested by linear methods if an information on actual values of model parameters is at our disposal and some condition is satisfied. In other words we must know that unknown parameters are with sufficiently high probability in so called linearization region. The aim of the paper is to determine this region.
Classification : 62F03, 62H15, 62J02, 62J05
Keywords: regression model; nonlinear hypothesis; linearization 
Kubáček, Lubomír; Tesaříková, Eva. Tests in weakly nonlinear regression model. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 44 (2005) no. 1, pp. 49-55. http://geodesic.mathdoc.fr/item/AUPO_2005_44_1_a5/
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[1] Kubáček L., Kubáčková L.: Regression models with a weak nonlinearity. Technical report Nr. 1998.1, Universität Stuttgart, 1998, 1–67.

[2] Kubáček L., Kubáčková L.: Statistics, Metrology. : Vyd. Univ. Palackého, Olomouc. 2000 (in Czech).

[3] Kubáček L., Kubáčková L.: Statistical problems of a determination of isobestic points. Folia Fac. Sci. Nat. Univ. Masarykianae Brunensis, Math. 11 (2002), 139–150. | MR | Zbl

[4] Rao C. R.: Linear Statistical Inference, its Application. : J. Wiley, New York–London–Sydney. 1965. | MR

[5] Tesaříková E., Kubáček L.: A test in nonlinear regression models. Demoprogram. Department of Algebra and Geometry, Faculta of Science, Palacký University, Olomouc, 2004 (in Czech).