Total Least Squares Fitting the Three-Parameter Inverse Weibull Density

Authors

  • Dragan Jukic Department of Mathematics, J. J. Strossmyer University of Osijek, Croatia
  • Darija Markovic Department of Mathematics, J. J. Strossmyer University of Osijek, Croatia

Keywords:

inverse Weibull density, total least squares, total least squares estimate, existence problem, data fitting

Abstract

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

Issue

Vol. 7 No. 3: (July 2014)

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://www.ejpam.com/index.php/ejpam/article/view/2114