Naslov
Solving parameter identification problem by the moving least absolute deviations method

Autori
Kralik, Gordana ; Sabo, Kristian ; Scitovski, Rudolf ; Vazler, Ivan

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proceedings of the 12th International Conference on Operational Research KOI2008 / V. Boljunčić, L. Neralić, K. Šorić - Pula : Hrvatsko društvo za operacijska istraživanja (CRORS), 2010, 297-307

Skup
12th International Conference on Operational Research KOI2008

Mjesto i datum
Pula, Hrvatska, 24.09.2008. - 26.09.2008

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
parameter identification problem ; moving least absolute deviations method ; mathematical model

Sažetak
On the basis of measured data, among which a significant number of outliers might appear, we introduce one method for parameter identification in a mathematical model given by the ordinary differential equation of the first order. The method consists of two steps. In the first step, we construct a smooth function by applying the moving least absolute deviations method. In the second step, by applying the least absolute deviations method we estimate unknown parameters of mathematical models. The method is applied to and tested on the problem of estimating saturation level and asymmetry coefficient in the mathematical model with saturation. The mathematical model described by a generalized Verhulst differential equation \ [\frac{; ; dy(t)}; ; {; ; dt}; ; = c\, y(t)\left(1- \left(\frac{; ; y(t)}; ; {; ; A}; ; \right)^\gamma\right), \quad c, \, \gamma, \, A > 0, \] is considered especially. In this case the parameter estimation problem is reduced to the nonlinear least absolute deviations problem for a 3- parametric exponential regression model. For solving this problem an efficient method is developed. The method is tested on real measurement data of weights of 60 pigs in the period of 26 weeks.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Poljoprivreda (agronomija)

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