On parameter-effects arrays in non-linear regression models
Applications of Mathematics (1993)
- Volume: 38, Issue: 2, page 123-132
- ISSN: 0862-7940
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topPotocký, Rastislav, and To, Van Ban. "On parameter-effects arrays in non-linear regression models." Applications of Mathematics 38.2 (1993): 123-132. <http://eudml.org/doc/15740>.
@article{Potocký1993,
abstract = {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.},
author = {Potocký, Rastislav, To, Van Ban},
journal = {Applications of Mathematics},
keywords = {nonlinear regression model; parameter-effects arrays; confidence region; three-dimensional parameter effects; Bates-Watts array; four-dimensional parameter-effects arrays; transformations of parameters; three-dimensional parameter effects; Bates-Watts array; four-dimensional parameter-effects arrays; transformations of parameters; confidence regions},
language = {eng},
number = {2},
pages = {123-132},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On parameter-effects arrays in non-linear regression models},
url = {http://eudml.org/doc/15740},
volume = {38},
year = {1993},
}
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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 38
IS - 2
SP - 123
EP - 132
AB - 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.
LA - eng
KW - nonlinear regression model; parameter-effects arrays; confidence region; three-dimensional parameter effects; Bates-Watts array; four-dimensional parameter-effects arrays; transformations of parameters; three-dimensional parameter effects; Bates-Watts array; four-dimensional parameter-effects arrays; transformations of parameters; confidence regions
UR - http://eudml.org/doc/15740
ER -
References
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- Clarke G. P. I., 10.1080/01621459.1987.10478507, Journal of the American Statistical Association 82 (1987), 844-850. (1987) Zbl0623.62062MR0909991DOI10.1080/01621459.1987.10478507
- Cook R. D., Goldberg M. L., 10.1214/aos/1176350166, The Annals of Statistics 14 (1986), 1399-1418. (1986) Zbl0651.62060MR0868308DOI10.1214/aos/1176350166
- Cook R. D., Witmer J. A., [unknown], J. Amer. Statist. Assoc. 80 (1985), 872-878. (1985) MR0819586
- Hoogaard P., Parameter transformations in multiparameter nonlinear regression models, University of Copenhagen, Institute of Mathematical Statistics, 1984, Preprint No. 2. (1984)
- Potocký R., Van Ban T., Confidence regions in non-linear regression models, Applications of Mathematics 57 (1992), 29-39. (1992)
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