| Title:
|
A classification of nonlinear regression models and parameter confidence regions (English) |
| Author:
|
Pázman, Andrej |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
28 |
| Issue:
|
6 |
| Year:
|
1992 |
| Pages:
|
444-453 |
| . |
| Category:
|
math |
| . |
| MSC:
|
62F25 |
| MSC:
|
62J02 |
| idZBL:
|
Zbl 0790.62065 |
| idMR:
|
MR1204594 |
| . |
| Date available:
|
2009-09-24T18:34:26Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125353 |
| . |
| Reference:
|
[1] D. M. Bates, D. G. Watts: Relative curvature measures of nonlinearity (with discussion).J. Roy. Statist. Soc. B 42]1980), 1-25. MR 0567196 |
| Reference:
|
[2] D. M. Bates, D. G. Watts: Nonlinear Regression Analysis and Its Application.Wiley, New York -Chichester 1988. MR 1060528 |
| Reference:
|
[3] E. M. L. Beale: Confidence regions in nonlinear estimation (with discussion).J. Roy. Statist. Soc. B 22 (1960), 41-88. MR 0119289 |
| Reference:
|
[4] G. P. Y. Clarke: Approximate confidence limits for a parameter function in nonlinear regression.J. Amer. Statist. Assoc. 82 (1987), 221-230. Zbl 0607.62078, MR 0883350 |
| Reference:
|
[5] E. Z. Demidenko: Optimization and Regression (in Russian).Nauka, Moskva 1989. MR 1007832 |
| Reference:
|
[6] L.P. Eisenhart: Riemannian Geometry.Princeton, Univerzity Press, Princeton, N. J. 1960. MR 0035081 |
| Reference:
|
[7] D. C. Hamilton D. C. Watts, D. M. Bates: Accounting for intrinsic nonlinearity in nonlinear regression parameter inference region.Ann. Statist. 10 (1982), 386-393. MR 0653514 |
| Reference:
|
[8] P. Hougaard: Covariance stabilizing transformations in nonlinear regression.Scand. J. Statist. 13 (1986), 207-210. MR 0873075 |
| Reference:
|
[9] S. Johansen: Functional Relations, Radom Coefficients and Nonlinear Regression with Application to Kinetic Data.Lectures Notes in Statistics, Springer-Verlag, Berlin - Heidelberg - New York 1984. MR 0740224 |
| Reference:
|
[10] R. Kass: Canonical parameterizations and zero parameter effect curvature.J. Roy. Statist. Soc B 46 (1984), 86-92. MR 0745220 |
| Reference:
|
[11] A. Pázman: Flat Gaussian nonliear regression models.In: Model Oriented Data Analysis (H. Läuter and V. Fedorov, eds.). (Lecture Notes in Economics and Mathematical Systems 297). Springer-Verlag, Berlin - Heidelberg - New York 1987, pp. 120 - 124. MR 1135125 |
| Reference:
|
[12] A. Pázman: Almost exact distribution of estimators II - Flat nonliear regression models.Statistics 21 (1990), 21-33. MR 1056059 |
| Reference:
|
[13] A. Pázman: Pivotal variables and confidence regions in flat nonliear regression models with unknown $\sigma$.Statistics 22 (1991), 177-189. MR 1097371 |
| Reference:
|
[14] A. Pázman: Nonlinear Statistical Models of Experiments (1993 to be published). MR 1254661 |
| Reference:
|
[15] D. A. Ratkowsky: Nonliear regression models.Marcel Dekker, New York 1983. |
| Reference:
|
[16] To-Van-Ban: Confidence Regions in a Nonliear Regression Models (in Slovak).Ph. D. Dissertation Comenius University, Bratislava 1990. |
| . |
