Pregled bibliografske jedinice broj: 130142
Solution of the least-squares problem for logistic function
Solution of the least-squares problem for logistic function // Journal of Computational and Applied Mathematics, 156 (2003), 159-177 (međunarodna recenzija, članak, znanstveni)
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Naslov
Solution of the least-squares problem for logistic function
Autori
Jukić, Dragan ; Scitovski, Rudolf
Izvornik
Journal of Computational and Applied Mathematics (0377-0427) 156
(2003);
159-177
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
nonlinear least squares; logistic function; existence problem
Sažetak
Given the data (p_i, t_i, f_i), i=1, ..., m, m>3, we consider the best least squares approximation of parameters for the logistic function t\mapsto f(t ; alpha, beta, gamma)=\frac{; ; ; alpha}; ; ; {; ; ; 1+e^{; ; ; beta - gamma t}; ; ; }; ; ; , alpha, gamma>0, beta\in\R. We give necessary and sufficient conditions which guarantee the existence of such optimal parameters.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
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- Web of Science
- Zentralblatt MATH