Regression Parameters Estimation of Random-Fuzzy Linear Regression Model and its Application
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摘要: 導出了隨機-模糊線性回歸模型參數的估計量,證明了參數的估計量為無偏估計,同時推導了參數估計量數字特征和回歸方程相關系數的計算公式。將該模型應用于巖石樣本抗剪強度實驗數據處理中,通過與傳統的隨機一元線性回歸對比分析,表明使用該方法得到的力學參數更具代表性。
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關鍵詞:
- 隨機-模糊線性回歸模型 /
- 參數估計 /
- 數字特征
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. -

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