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Recently, we proposed a new criterion called the error whitening criterion (EWC) to solve the problem of linear parameter estimation in the presence of additive white noise.
In line with the existing optimal experiment design methodology for a linear parameter estimation problem, we also propose several design criteria that optimize some measure of the over-approximated confidence region for the nonlinear case.
To analyse the performances of previously discussed methods, a linear parameter estimation scenario in stationary and non-stationary contexts, related to the additive noise, is applied (see Fig. 1) [10].
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Kinetic rate equations for the key steps in the reaction sequence were developed using the observed concentration vs. time profiles as the starting basis and the kinetic parameters were estimated using non-linear parameter estimation.
Therefore a fourth technique, which uses a non-linear parameter estimation routine, has been developed.
This study introduces the HS method for solving the non-linear parameter estimation problem involved in the modeling of VLE data.
The PEST algorithm method is based on non-linear parameter estimation theory (Doherty 2005).
These are then parameterized as piecewise linear functions, which ascertains that the dynamic system can be solved analytically, resulting in a non-dynamic, non-linear parameter estimation problem.
Goudar et al. (2009) compared the simplex method, the generalized reduced gradient method (GRG) and the Levenberg-Marquard algorithm (LMA) for non-linear parameter estimation of logistic model parameters of batch and fed-batch mammalian cell culture.
Figure 8 (a) Linear RIC model parameter estimation for five different breath cycles, produced by representative COPD patient's signals.
Figure 3 (a) Mean Squared Error (MSE) versus SNR for linear RIC model parameter estimation produced by artificial signals.
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