Total Least Squares Fitting the Three-Parameter Inverse Weibull Density
Keywords:
inverse Weibull density, total least squares, total least squares estimate, existence problem, data fittingAbstract
The focus of this paper is on a nonlinear weighted total least squares fitting problem for the three-parameter inverse Weibull density which is frequently employed as a model in reliability and lifetime studies. As a main result, a theorem on the existence of the total least squares estimator is obtained,as well as its generalization in the $l_q$ norm ($1\leq q<\infty$).
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Published
2014-08-01
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Section
Mathematical Modeling and Numerical Analysis
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How to Cite
Total Least Squares Fitting the Three-Parameter Inverse Weibull Density. (2014). European Journal of Pure and Applied Mathematics, 7(3), 230-245. https://ejpam.com/index.php/ejpam/article/view/2114