nonlinear regression models; linear and quadratic estimators; linearization and quadratization domains; Taylor series
In a nonlinear model, the linearization and quadratization domains are considered. In the case of a locally quadratic model, explicit expressions for these domains are given and the domains are compared.
[kub1] L. Kubáček: On a linearization of regression models
. Applications of Mathematics 40 (1995), 61–78. MR 1305650
[kub2] L. Kubáček: Quadratic regression models
. Math. Slovaca 46 (1996), 111–126. MR 1414414
[paz] A. Pázman: Nonlinear Statistical Models
. Kluwer Acad. Publishers, Dordrecht-Boston-London and Ister Science Press, Bratislava, 1993. MR 1254661
[aj] A. Pulmannová: Linear estimates in regression models. Diploma thesis, Faculty of Mathematics and Physics, Commenius University, Bratislava, 1994.