Estimation of weibull parameters using a fuzzy least-squares method

Authors:
Wen-Liang Hung;Yuan-Chen Liu
Affiliations:
Department of Mathematics Education, National Hsinchu Teachers College, Hsin-Chu, Taiwan, R.O.C.;Graduated School of Educational Communications and Technology, National Taipei Teachers College, Taipei, Taiwan, R.O.C.
Venue:
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Year:
2005

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Abstract

The purpose of this paper is to find a robust estimation method for a two-parameter Weibull distribution when outliers are present. This is a relevant problem because of the usefulness of the Weibull distribution in life testing and reliability theory. For that purpose, a cluster-wise fuzzy least-squares algorithm with a noise cluster is used. This is because a noise cluster can be used for compensating the effects of outliers. Numerical comparisons between this fuzzy least-squares algorithm and the existing methods are implemented. According to these comparisons, it is suggested that the proposed fuzzy least-squares algorithm is preferable when the sample size is large.