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The estimation of coefficient of heat loss per unit of time and temperature within the adsorber-collector is already developed by Klein 1975 and discussed by Duffie and Beckman 2013.
Hence, with estimation of coefficient of determination between real outputs and modeled output in the different structures of the neural network with linear functions, the best structure in terms of number of hidden layer cells with the highest coefficient of determination is a network with 25 neurons of hidden layer with R2 = 0.8377 (Fig. 5).
Estimation of coefficient functions in the ODE consists of two steps.
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However, it should be noted that to estimate the linear effects, certain constraints have to be imposed in the estimation of coefficients, and therefore the challenge is to seek for constraints that are justifiable and interpretable.
For estimation of coefficients in the approximating polynomial function, the least square regression method was applied.
The proposed method is defined in section 'Robust estimation of coefficients by testing equality of variations in specified intervals'.
Comparing the outcomes of ESV calculations obtained for a case area using different bases for estimation of coefficients would certainly enhance our understanding of their applicability and limitations.
The following steps are proposed as an iterative method to decrease the effect of trends in the residuals and improve the robust estimation of coefficients.
Nonlinear least squares regression analysis based on Levenberg Marquardt estimation method can be used for estimation of coefficients of Eqs. 3 and 4 using STATISTICA Software Program, Version 7. Table 2 collects these constants.
Next, performing boosting updates to obtain an optimal estimation of coefficients β.
For estimation of coefficients and their standard errors, clustering by dissemination area was included to account for correlation between girls living in the same area.
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