Pregled bibliografske jedinice broj: 497617
Total least squares fitting Bass diffusion model
Total least squares fitting Bass diffusion model // Mathematical and computer modelling, 53 (2011), 9/10; 1756-1770 doi:10.1016/j.mcm.2010.12.054 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 497617 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Total least squares fitting Bass diffusion model
Autori
Jukić, Dragan
Izvornik
Mathematical and computer modelling (0895-7177) 53
(2011), 9/10;
1756-1770
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Bass model; total least squares; total least squares estimate; existence problem; data fitting
Sažetak
This paper is concerned with the Bass model which is widely used as a first-purchase diffusion model in marketing research. Estimation of its parameters has been approached in the literature by various techniques. In this paper, we consider the nonlinear weighted total least squares (TLS) fitting approach. We show that it is possible that the TLS estimate does not exist. As a main result, two theorems on the existence of the total least squares estimate are obtained, as well as their generalization in the total $l_s$ norm ($1\leq s<\infty$). Several illustrative numerical examples are given to illustrate the efficiency of our approach.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Ekonomija
POVEZANOST RADA
Projekti:
235-2352818-1034 - Nelinearni problemi procjene parametara u matematičkim modelima (Jukić, Dragan, MZOS ) ( CroRIS)
235-2352818-1039 - Statistički aspekti problema procjene u nelinearnim parametarskim modelima (Benšić, Mirta, MZOS ) ( CroRIS)
Ustanove:
Sveučilište u Osijeku, Odjel za matematiku
Profili:
Dragan Jukić
(autor)
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
