Pregled bibliografske jedinice broj: 432228
On nonlinear weighted errors-in-variables parameter estimation problem in the three-parameter Weibull model
On nonlinear weighted errors-in-variables parameter estimation problem in the three-parameter Weibull model // Applied mathematics and computation, 215 (2010), 3599-3609 (međunarodna recenzija, članak, znanstveni)
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Naslov
On nonlinear weighted errors-in-variables parameter estimation problem in the three-parameter Weibull model
Autori
Jukić, Dragan ; Marković, Darija
Izvornik
Applied mathematics and computation (0096-3003) 215
(2010);
3599-3609
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
three-parameter Weibull distribution; errors-in-variables regression; errors-in-variables estimate; existence problem
Sažetak
This paper is concerned with the three-parameter Weibull distribution which is widely used as a model in reliability and lifetime studies. In practice, the Weibull model parameters are not known in advance and must be estimated from a random sample. Difficulties in applying the method of maximum likelihood to three-parameter Weibull models have led to a variety of alternative approaches in the literature. In this paper we consider the nonlinear weighted errors-in-variables (EIV) fitting approach. As a main result, two theorems on the existence of the EIV estimate are obtained. An illustrative example is also included.
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
