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
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 $(p_i, t_i, y_i)$, $i=1, \ldots, m$, $m>3$, 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

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