| Title:
|
On parameter-effects arrays in non-linear regression models (English) |
| Author:
|
Potocký, Rastislav |
| Author:
|
To, Van Ban |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
38 |
| Issue:
|
2 |
| Year:
|
1993 |
| Pages:
|
123-132 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
nonlinear regression model |
| Keyword:
|
parameter-effects arrays |
| Keyword:
|
confidence region |
| Keyword:
|
three-dimensional parameter effects |
| Keyword:
|
Bates-Watts array |
| Keyword:
|
four-dimensional parameter-effects arrays |
| Keyword:
|
transformations of parameters |
| MSC:
|
62J02 |
| idZBL:
|
Zbl 0774.62065 |
| idMR:
|
MR1202748 |
| DOI:
|
10.21136/AM.1993.104539 |
| . |
| Date available:
|
2008-05-20T18:45:12Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104539 |
| . |
| Reference:
|
[1] Bates D. M., Watts D. G.: Relative curvature measure of nonlinearity.Journal of the Royal Statistical Society (1980), 1-25. MR 0567196 |
| Reference:
|
[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. Zbl 0493.62060, MR 0630099, 10.1214/aos/1176345633 |
| Reference:
|
[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. Zbl 0623.62062, MR 0909991, 10.1080/01621459.1987.10478507 |
| Reference:
|
[4] Cook R. D., Goldberg M. L.: Curvatures for parameter subsets in nonlinear regression.The Annals of Statistics 14 (1986), 1399-1418. Zbl 0651.62060, MR 0868308, 10.1214/aos/1176350166 |
| Reference:
|
[5] Cook R. D., Witmer J. A.: .J. Amer. Statist. Assoc. 80 (1985), 872-878. MR 0819586 |
| Reference:
|
[6] Hoogaard P.: Parameter transformations in multiparameter nonlinear regression models.University of Copenhagen, Institute of Mathematical Statistics, 1984, Preprint No. 2. |
| Reference:
|
[7] Potocký R., Van Ban T.: Confidence regions in non-linear regression models.Applications of Mathematics 57 (1992), 29-39. |
| . |
