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Potocký, Rastislav ; To, Van Ban
On parameter-effects arrays in non-linear regression models. (English). Applications of Mathematics, vol. 38 (1993), issue 2, pp. 123-132
MSC: 62J02 | MR 1202748 | Zbl 0774.62065 | DOI: 10.21136/AM.1993.104539
Keywords:
nonlinear regression model; parameter-effects arrays; confidence region; three-dimensional parameter effects; Bates-Watts array; four-dimensional parameter-effects arrays; transformations of parameters
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.
References:
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[4] Cook R. D., Goldberg M. L.: Curvatures for parameter subsets in nonlinear regression. The Annals of Statistics 14 (1986), 1399-1418. DOI 10.1214/aos/1176350166 | MR 0868308 | Zbl 0651.62060
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[6] Hoogaard P.: Parameter transformations in multiparameter nonlinear regression models. University of Copenhagen, Institute of Mathematical Statistics, 1984, Preprint No. 2.
[7] Potocký R., Van Ban T.: Confidence regions in non-linear regression models. Applications of Mathematics 57 (1992), 29-39.
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