Pregled bibliografske jedinice broj: 225090
Total least squares problem for the Hubbert function
Total least squares problem for the Hubbert function // Proceedings of the Conference on Applied Mathematics and Scientific Computing / Drmač, Zlatko ; Marušić, Miljenko ; Tutek, Zvonimir (ur.).
Dordrecht: Springer, 2005. str. 217-234. (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)
CROSBI ID: 225090 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Total least squares problem for the Hubbert function
Autori
Jukić, Dragan ; Scitovski, Rudolf ; Sabo, Kristian
Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni
Izvornik
Proceedings of the Conference on Applied Mathematics and Scientific Computing
/ Drmač, Zlatko ; Marušić, Miljenko ; Tutek, Zvonimir - Dordrecht : Springer, 2005, 217-234.
Skup
The Third Conference on Applied Mathematics and Scientific Computing
Mjesto i datum
Brijuni, Hrvatska, 23.06.2003. - 27.06.2003
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
logistic function; Hubbert function; nonlinear least squares; total least squares; existence problem
Sažetak
In this paper we consider the parameter estimation (PE) problem for the logistic function-model in case when it is not possible to measure its values. We show that the PE problem for the logistic function can be reduced to the PE problem for its derivative known as the Hubbert function. Our proposed method is based on finite differences and the total least squares method. Given the data (p_i, t_i, y_i), i=1, ..., m, m>3, we give necessary and sufficient conditions which guarantee the existence of the total least squares estimate of parameters for the Hubbert function, suggest a choice of a good initial approximation and give some numerical examples.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
