On nonlinear weighted errors-in-variables parameter estimation problem in the three-parameter Weibull model |
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Authors: | Dragan Juki? Darija Markovi? |
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Affiliation: | Department of Mathematics, University of Osijek, Trg Ljudevita Gaja 6, HR-31 000 Osijek, Croatia |
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Abstract: | 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. |
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Keywords: | Three-parameter Weibull distribution Errors-in-variables regression Errors-in-variables estimate Existence problem |
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