Pregled bibliografske jedinice broj: 432226
On nonlinear weighted total least squares parameter estimation problem for the three-parameter Weibull density
On nonlinear weighted total least squares parameter estimation problem for the three-parameter Weibull density // Applied mathematical modelling, 34 (2010), 1839-1848 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 432226 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On nonlinear weighted total least squares parameter estimation problem for the three-parameter Weibull density
Autori
Marković, Darija ; Jukić, Dragan
Izvornik
Applied mathematical modelling (0307-904X) 34
(2010);
1839-1848
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
three-parameter Weibull density; total least squares; total least squares estimate; existence problem; data fitting
Sažetak
The three-parameter Weibull density function is widely employed as a model in reliability and lifetime studies. Estimation of its parameters has been approached in the literature by various techniques, because a standard maximum likelihood estimate does not exist. In this paper we consider the nonlinear weighted total least squares fitting approach. As a main result, a theorem on the existence of the total least squares estimate is obtained, as well as its generalization in the total $l_q$ norm ($q\geq 1$). Some numerical simulations to support the theoretical work are given.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
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)
235-2352818-1042 - Pasivna kontrola mehaničkih modela (Truhar, Ninoslav, MZOS ) ( CroRIS)
Ustanove:
Sveučilište u Osijeku, Odjel za matematiku
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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
- CAD/CAM Abstracts
- COMPENDEX
- Computer & Control Abstracts
- EMBASE
- Electronics and Communications Abstracts
- FLUIDEX
- SCISEARCH
- Science Citation Index
- Scopus
