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http://dx.doi.org/10.5351/CKSS.2008.15.6.799

Asymptotic Consistency of Least Squares Estimators in Fuzzy Regression Model  

Yoon, Jin-Hee (School of Economics, Yonsei University)
Kim, Hae-Kyung (Department of Mathematics, Yonsei University)
Choi, Seung-Hoe (School of Liberal Arts and Science, Korea Aerospace University, Korea Aerospace University)
Publication Information
Communications for Statistical Applications and Methods / v.15, no.6, 2008 , pp. 799-813 More about this Journal
Abstract
This paper deals with the properties of the fuzzy least squares estimators for fuzzy linear regression model. Especially fuzzy triangular input-output model including error term is proposed. The error term is considered as a fuzzy random variable. The asymptotic unbiasedness and the consistency of the estimators are proved using a suitable metric.
Keywords
Fuzzy least squares estimators; asymptotic unbiasedness; asymptotic consistency;
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