Regression Parameters Estimation of Random-Fuzzy Linear Regression Model and its Application

ZHANG Zhigang; WANG Peng; LI Angui; CAI Meifeng; ZHANG Hongying

doi:10.13374/j.issn1001-053x.2004.03.026

Volume 26 Issue 3

Aug. 2021

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Article Navigation > Chinese Journal of Engineering > 2004 > 26(3): 326-329

ZHANG Zhigang, WANG Peng, LI Angui, CAI Meifeng, ZHANG Hongying. Regression Parameters Estimation of Random-Fuzzy Linear Regression Model and its Application[J]. Chinese Journal of Engineering, 2004, 26(3): 326-329. doi: 10.13374/j.issn1001-053x.2004.03.026

Citation:

ZHANG Zhigang, WANG Peng, LI Angui, CAI Meifeng, ZHANG Hongying. Regression Parameters Estimation of Random-Fuzzy Linear Regression Model and its Application[J]. Chinese Journal of Engineering, 2004, 26(3): 326-329. doi: 10.13374/j.issn1001-053x.2004.03.026

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Regression Parameters Estimation of Random-Fuzzy Linear Regression Model and its Application

doi: 10.13374/j.issn1001-053x.2004.03.026

1. Applied Science School, University of Science and Technology Beijing, Beijing 100083, China;
2. Civil and Environmenfal Engineering School, University of Science and Technology Beijing, Beijing 100083, China;
3. Shiquanhu Reservoir, Ju'nan 276600, China

Received Date: 2003-09-12
Available Online: 2021-08-16

Abstract

Abstract

The regression parameters estimation exprssions of a random-fuzzy linear regression model are deduced. It is proved that they are an unbiased estimator. The formulae for calculating the numerical characteristics of regression parameters estimation and the correlation coefficients of the regression equation are derived. Based on the experimental data of triaxial compression tests, the calculated results are more realistic and reasonable compared with the linear regression method.
- random-fuzzy linear regression model,
- parameters estimation,
- numerical characteristic