Keywords: nonlinear regression; confidence regions; weak intrinsic and weak parameter-effects curvatures; linear approximation; curvature measures; quadratic approximations; likelihood ratios
@article{10_21136_AM_1992_104489,
author = {Potock\'y, Rastislav and To, Van Ban},
title = {Confidence regions in nonlinear regression models},
journal = {Applications of Mathematics},
pages = {29--39},
year = {1992},
volume = {37},
number = {1},
doi = {10.21136/AM.1992.104489},
mrnumber = {1152155},
zbl = {0749.62043},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1992.104489/}
}
TY - JOUR AU - Potocký, Rastislav AU - To, Van Ban TI - Confidence regions in nonlinear regression models JO - Applications of Mathematics PY - 1992 SP - 29 EP - 39 VL - 37 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1992.104489/ DO - 10.21136/AM.1992.104489 LA - en ID - 10_21136_AM_1992_104489 ER -
Potocký, Rastislav; To, Van Ban. Confidence regions in nonlinear regression models. Applications of Mathematics, Tome 37 (1992) no. 1, pp. 29-39. doi: 10.21136/AM.1992.104489
[1] D. M. Bates D. G. Watts: Relative curvature measures of nonlinearity. Journal of the Royal Statistical Society, Ser. B 42 (1980), 1-25. | MR
[2] D. M. Bates D. G. Watts: Parameter transformations for improved approximate confidence regions in nonlinear least squares. The Annals of Statistics 9 (1981), 1152-1167. | DOI | MR
[3] G. E. P. Box G. A. Coutie: Application of digital computers in the exploration of functional relationships. Proc. I.E.E. 103 no. 1, part B, suppl. (1956), 100-107. | MR
[4] G. P. I. Clarke: 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
[5] R. D. Cook M. L. Goldberg: Curvatures for parameter subsets in nonlinear regression. The Annals of Statistics 14 (1986), 1399-1418. | DOI | MR
[6] R. D. Cook J. A. Witmer: A note on parameter-effects curvature. Journal of the American Statistical Association 80 (1985), 872-878. | DOI | MR
[7] A. R. Gallant: Nonlinear regression. The American Statistician 29 (1975), 73-81. | MR | Zbl
[8] D. C. Hamilton D. G. Watts D. M. Bates: Accounting for intrinsic nonlinearity in nonlinear regression parameter inference regions. The Annals of Statistics 10(1982), 386-393. | MR
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