On parameter-effects arrays in non-linear regression models
Applications of Mathematics, Tome 38 (1993) no. 2, pp. 123-132

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
Formulas for a new three- and four-dimensional parameter-effects arrays corresponding to transformations of parameters in non-linear regression models are given. These formulae make the construction of the confidence regions for parameters easier. An example is presented which shows that some care is necessary when a new array is computed.
Formulas for a new three- and four-dimensional parameter-effects arrays corresponding to transformations of parameters in non-linear regression models are given. These formulae make the construction of the confidence regions for parameters easier. An example is presented which shows that some care is necessary when a new array is computed.
DOI : 10.21136/AM.1993.104539
Classification : 62J02
Keywords: nonlinear regression model; parameter-effects arrays; confidence region; three-dimensional parameter effects; Bates-Watts array; four-dimensional parameter-effects arrays; transformations of parameters
Potocký, Rastislav; To, Van Ban. On parameter-effects arrays in non-linear regression models. Applications of Mathematics, Tome 38 (1993) no. 2, pp. 123-132. doi: 10.21136/AM.1993.104539
@article{10_21136_AM_1993_104539,
     author = {Potock\'y, Rastislav and To, Van Ban},
     title = {On parameter-effects arrays in non-linear regression models},
     journal = {Applications of Mathematics},
     pages = {123--132},
     year = {1993},
     volume = {38},
     number = {2},
     doi = {10.21136/AM.1993.104539},
     mrnumber = {1202748},
     zbl = {0774.62065},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1993.104539/}
}
TY  - JOUR
AU  - Potocký, Rastislav
AU  - To, Van Ban
TI  - On parameter-effects arrays in non-linear regression models
JO  - Applications of Mathematics
PY  - 1993
SP  - 123
EP  - 132
VL  - 38
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1993.104539/
DO  - 10.21136/AM.1993.104539
LA  - en
ID  - 10_21136_AM_1993_104539
ER  - 
%0 Journal Article
%A Potocký, Rastislav
%A To, Van Ban
%T On parameter-effects arrays in non-linear regression models
%J Applications of Mathematics
%D 1993
%P 123-132
%V 38
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1993.104539/
%R 10.21136/AM.1993.104539
%G en
%F 10_21136_AM_1993_104539

[1] Bates D. M., Watts D. G.: Relative curvature measure of nonlinearity. Journal of the Royal Statistical Society (1980), 1-25. | MR

[2] Bates D. M., Watts D. G.: Parameter transformations for improved approximate confidence regions in nonlinear least squares. The Annals of Statistics 9 (1981), 1152-1162. | DOI | MR | Zbl

[3] Clarke G. P. I.: Marginal curvatures and their usefulness in the analysis of nonlinear regression models. Journal of the American Statistical Association 82 (1987), 844-850. | DOI | MR | Zbl

[4] Cook R. D., Goldberg M. L.: Curvatures for parameter subsets in nonlinear regression. The Annals of Statistics 14 (1986), 1399-1418. | DOI | MR | Zbl

[5] Cook R. D., Witmer J. A.: J. Amer. Statist. Assoc. 80 (1985), 872-878. | MR

[6] Hoogaard P.: Parameter transformations in multiparameter nonlinear regression models. University of Copenhagen, Institute of Mathematical Statistics, 1984, Preprint No. 2.

[7] Potocký R., Van Ban T.: Confidence regions in non-linear regression models. Applications of Mathematics 57 (1992), 29-39.

Cité par Sources :