A classification of nonlinear regression models and parameter confidence regions
Kybernetika (1992)
- Volume: 28, Issue: 6, page 444-453
- ISSN: 0023-5954
Access Full Article
top
How to cite
topPázman, Andrej. "A classification of nonlinear regression models and parameter confidence regions." Kybernetika 28.6 (1992): 444-453. <http://eudml.org/doc/28508>.
@article{Pázman1992,
author = {Pázman, Andrej},
journal = {Kybernetika},
keywords = {intrinsically linear models; survey paper; comparison of confidence regions; models with constant information matrices; models with zero Riemannian curvature; elliptical region; likelihood region; linear inference region},
language = {eng},
number = {6},
pages = {444-453},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A classification of nonlinear regression models and parameter confidence regions},
url = {http://eudml.org/doc/28508},
volume = {28},
year = {1992},
}
TY - JOUR
AU - Pázman, Andrej
TI - A classification of nonlinear regression models and parameter confidence regions
JO - Kybernetika
PY - 1992
PB - Institute of Information Theory and Automation AS CR
VL - 28
IS - 6
SP - 444
EP - 453
LA - eng
KW - intrinsically linear models; survey paper; comparison of confidence regions; models with constant information matrices; models with zero Riemannian curvature; elliptical region; likelihood region; linear inference region
UR - http://eudml.org/doc/28508
ER -
References
top- D. M. Bates, D. G. Watts, Relative curvature measures of nonlinearity (with discussion), J. Roy. Statist. Soc. B 42]1980), 1-25. (1980) MR0567196
- D. M. Bates, D. G. Watts, Nonlinear Regression Analysis and Its Application, Wiley, New York -Chichester 1988. (1988) MR1060528
- E. M. L. Beale, Confidence regions in nonlinear estimation (with discussion), J. Roy. Statist. Soc. B 22 (1960), 41-88. (1960) MR0119289
- G. P. Y. Clarke, Approximate confidence limits for a parameter function in nonlinear regression, J. Amer. Statist. Assoc. 82 (1987), 221-230. (1987) Zbl0607.62078MR0883350
- E. Z. Demidenko, Optimization and Regression (in Russian), Nauka, Moskva 1989. (1989) MR1007832
- L.P. Eisenhart, Riemannian Geometry, Princeton, Univerzity Press, Princeton, N. J. 1960. (1960) MR0035081
- 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. (1982) MR0653514
- P. Hougaard, Covariance stabilizing transformations in nonlinear regression, Scand. J. Statist. 13 (1986), 207-210. (1986) MR0873075
- 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. (1984) MR0740224
- R. Kass, Canonical parameterizations and zero parameter effect curvature, J. Roy. Statist. Soc B 46 (1984), 86-92. (1984) MR0745220
- 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. (1987) MR1135125
- A. Pázman, Almost exact distribution of estimators II - Flat nonliear regression models, Statistics 21 (1990), 21-33. (1990) MR1056059
- A. Pázman, Pivotal variables and confidence regions in flat nonliear regression models with unknown , Statistics 22 (1991), 177-189. (1991) MR1097371
- A. Pázman, Nonlinear Statistical Models of Experiments (1993 to be published) MR1254661
- D. A. Ratkowsky, Nonliear regression models, Marcel Dekker, New York 1983. (1983)
- To-Van-Ban, Confidence Regions in a Nonliear Regression Models (in Slovak), Ph. D. Dissertation Comenius University, Bratislava 1990. (1990)
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.