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
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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