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On nonlinear weighted errors-in-variables parameter estimation problem in the three-parameter Weibull model (CROSBI ID 156300)

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Jukić, Dragan ; Marković, Darija On nonlinear weighted errors-in-variables parameter estimation problem in the three-parameter Weibull model // Applied mathematics and computation, 215 (2010), 3599-3609

Podaci o odgovornosti

Jukić, Dragan ; Marković, Darija

engleski

On nonlinear weighted errors-in-variables parameter estimation problem in the three-parameter Weibull model

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.

three-parameter Weibull distribution; errors-in-variables regression; errors-in-variables estimate; existence problem

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Podaci o izdanju

215

2010.

3599-3609

objavljeno

0096-3003

Povezanost rada

Matematika

Indeksiranost