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Non-linear models

1992
Abstract Experimental designs for non-linear models depend on the values of the parameters, which will generally be unknown. In this section we first give four examples of non-linear models and then consider the general implications for design of this dependence on unknown values.
A C Atkinson, A N Doney
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Non-linear Models

1997
In linear regression the mean surface is a plane in sample space; in non-linear regression it may be an arbitrary curved surface but in all other respects the models are the same. Fortunately the mean surface in most non-linear regression models met in practice will be approximately planar in the region of highest likelihood, allowing some good ...
W. N. Venables, B. D. Ripley
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Non-linear Modeling

2012
Novel models for the assessment of non-linear data are being developed for the benefit of making better predictions from the data.
Ton J. Cleophas, Aeilko H. Zwinderman
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Non-Linear Models

2007
Abstract The experimental designs derived in the previous chapters for linear models do not depend on the values of the parameters β of the linear model. On the other hand, an important feature of designs for non-linear models is that they do depend on the values of the parameters.
A C Atkinson, A N Donev, R D Tobias
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Adaptive non-linear modeling

1998 IEEE Symposium on Advances in Digital Filtering and Signal Processing. Symposium Proceedings (Cat. No.98EX185), 2002
To obtain an accurate model of a process the adaptation process should allow for an arbitrary accuracy within a given cost. Cost may be measured in terms of processing time or computing requirements. It is well known that to gain a better approximation of a process, the adaptation should be able to model a non-linearity at a desirable precision ...
A. David, T. Aboulnasr
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A non-linear genetic model

Theoretical and Applied Genetics, 1982
A model, developed by Seyffert and Forkmann (1976), simulates quantitative characters by genes with biochemically definable action. This model, however, possesses a number of shortcomings which have been overcome by a modified model of the form: [Formula: see text] where [Formula: see text] is the score of the genotype [x1,...
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(Non) linear regression modeling [PDF]

open access: possible, 2004
We will study causal relationships of a known form between random variables. Given a model, we distinguish one or more dependent (endogenous) variables Y = (Y1,…,Yl), l ∈ N, which are explained by a model, and independent (exogenous, explanatory) variables X = (X1,…,Xp),p ∈ N, which explain or predict the dependent variables by means of the model. Such
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Non-Linear MESFET Modelling

17th European Microwave Conference, 1987, 1987
A new technique for non-linear modelling of MESFETs has been developed based on the extraction of both linear and non-linear model parameters in one optimization step. The technique eliminates various modelling inconsistency problems and can be used for MESFETs with dispersi ve model parameters.
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