Naslov
Estimation of optimal parameters of generalized logistic model-function in the discrete $L_p$-norms

Autori
Marošević, Tomislav

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

Izvornik
Proceedings of the 7th International Conference on Operational Research / Aganović, Ibrahim ; Hunjak, Tihomir ; Scitovski, Rudolf - Osijek : Hrvatsko društvo održavatelja, 1999, 247-256

Skup
7th International Conference on Operational Research - KOI'98

Mjesto i datum
Rovinj, Hrvatska, 30.09.1998. - 02.10.1998

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
generalized logistic function; $L_p$-norm; parameter estimation; iteratively reweighted least squares method

Sažetak
We consider the existence problem for optimal parameters of the generalized logistic function approximating the given data $(w_i,t_i,f_i)$, $i=1,ldots,m,$ in the sense of the least $L_p$-norms, $1leq p<infty$. Under the natural condition on the data, we prove the existence of such optimal parameters. Also, we give a few examples in which we estimate the optimal parameters of the generalized logistic model-function in the sense of the discrete least $L_p$-norm (for some values $p$), by means of the iteratively reweighted least squares method and the linearization of the generalized logistic function.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA