On nonlinear weighted total least squares parameter estimation problem for the three-parameter Weibull density (CROSBI ID 156298)
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Marković, Darija ; Jukić, Dragan
engleski
On nonlinear weighted total least squares parameter estimation problem for the three-parameter Weibull density
The three-parameter Weibull density function is widely employed as a model in reliability and lifetime studies. Estimation of its parameters has been approached in the literature by various techniques, because a standard maximum likelihood estimate does not exist. In this paper we consider the nonlinear weighted total least squares fitting approach. As a main result, a theorem on the existence of the total least squares estimate is obtained, as well as its generalization in the total $l_q$ norm ($q\geq 1$). Some numerical simulations to support the theoretical work are given.
three-parameter Weibull density; total least squares; total least squares estimate; existence problem; data fitting
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