Uncertain linear regression model and its application

Haiying Guo (), Xiaosheng Wang () and Zhichao Gao
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Haiying Guo: Hebei University of Engineering
Xiaosheng Wang: Hebei University of Engineering
Zhichao Gao: Hebei University of Engineering

Journal of Intelligent Manufacturing, 2017, vol. 28, issue 3, No 7, 559-564

Abstract: Abstract Regression analysis is a statistical process for estimating the relationships among variables based on probability. Because not all the imprecise quantities can be described by random variables, it is necessary to investigate relationships between an uncertain variable and some other variables. In this paper, an uncertain linear regression model is established based on uncertainty theory. Then, the estimators of parameters are obtained in the proposed model by the empirical uncertainty distribution coming from experts’ experimental data. Finally, the uncertain linear regression model is applied to solve an estimate problem.

Keywords: Uncertainty theory; Uncertainty distribution; Uncertain statistics; Linear regression model (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10845-014-1022-4

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