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On nonlinear weighted errors-in-variables parameter estimation problem in the three-parameter Weibull model
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DOI：10.1016/j.amc.2009.10.056.png)
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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 non-linear 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. (C) 2009 Elsevier Inc. All rights reserved.
Keyword:
Three-parameter Weibull distribution
Errors-in-variables regression
Errors-in-variables estimate
Existence problem
期刊
IF:
3.4
论文数:
2.3W
被引数:
3.3W
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