The methods for determining kinetic constants may have significant effects on the estimation results. The two-variable linear correlation method leads to values of the kinetic constants for which the difference between the calculated and measured values is comparable to or greater than the measurement precision. The non-linear method for calculating kinetic constants by searching for the minimum of the error function N S 1 = ~ (rnit --nh)e/N, where ml and mtt are the measured and calculated values, i=l respectively, and N is the number of experimental data, gives very precise results. A simple calculating technique is necessary for the fitting of the minimum point and the confidence region limit at the significance level. An appropriate calculation was made for metal oxidation according to the parabolic law.The estimation of kinetic constants from thermogravimetric data is a specific case of the wide problem of the estimation of mathematical model parameters from experimental data. When the number of observations is greater than the number of parameters estimated, the task consists in choosing the parameter values best describing the phenomenon investigated. The sum of the square differences of the measurement results and the values predicted for the given model parameters is usually assumed as an accordance value.Those values are the best whose sum is the least. The estimation is therefore frequently identified with the least squares method. The problem formulated above is an example of determining the constraintl minimum, where the sum of square differences is the minimized objective function, and the mathematical model equation is the constraint generator for the individual experimental data. For a given constraint system:it is necessary to find the parameter values of the model a T = (o"1, oh, 9 9 tYp) T giving the minimum value of the objective function
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