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随机-模糊线性回归模型的参数估计及应用
引用本文:张志刚,王鹏,李安贵,蔡美峰,张红英. 随机-模糊线性回归模型的参数估计及应用[J]. 北京科技大学学报, 2004, 26(3): 326-329
作者姓名:张志刚  王鹏  李安贵  蔡美峰  张红英
作者单位:1. 北京科技大学应用科学学院,北京,100083
2. 北京科技大学土木与环境工程学院,北京,100083
3. 山东省莒南石泉湖水库,山东,276600
摘    要:导出了随机-模糊线性回归模型参数的估计量,证明了参数的估计量为无偏估计,同时推导了参数估计量数字特征和回归方程相关系数的计算公式.将该模型应用于岩石样本抗剪强度实验数据处理中,通过与传统的随机一元线性回归对比分析,表明使用该方法得到的力学参数更具代表性.

关 键 词:随机-模糊线性回归模型  参数估计  数字特征  随机  模糊线性回归模型  参数估计量  应用  Application  Linear Regression Model  Parameters Estimation  代表  力学参数  方法  使用  分析  一元线性回归  数据处理  强度实验  抗剪  岩石样本  计算公式  相关系数  回归方程
修稿时间:2003-09-12

Regression Parameters Estimation of Random-Fuzzy Linear Regression Model and its Application
ZHANG Zhigang,WANG Peng,LI Angui,CAI Meifeng,ZHANG Hongying Applied Science School,University of Science and Technology Beijing,Beijing ,China Civil and Environmenfal Engineering School,University of Science and Technology Beijing,Beijing ,China Shiquanhu Reservoir,Ju'nan ,China. Regression Parameters Estimation of Random-Fuzzy Linear Regression Model and its Application[J]. Journal of University of Science and Technology Beijing, 2004, 26(3): 326-329
Authors:ZHANG Zhigang  WANG Peng  LI Angui  CAI Meifeng  ZHANG Hongying Applied Science School  University of Science  Technology Beijing  Beijing   China Civil  Environmenfal Engineering School  University of Science  Technology Beijing  Beijing   China Shiquanhu Reservoir  Ju'nan   China
Affiliation:ZHANG Zhigang,WANG Peng,LI Angui,CAI Meifeng,ZHANG Hongying Applied Science School,University of Science and Technology Beijing,Beijing 100083,China Civil and Environmenfal Engineering School,University of Science and Technology Beijing,Beijing 100083,China Shiquanhu Reservoir,Ju'nan 276600,China
Abstract:The regression parameters estimation exprssions of a random-fuzzy linear regression model are de-duced. It is proved that they are an unbiased estimator. The formulae for calculating the numerical characteristics ofregression parameters estimation and the correlation coefficients of the regression equation are derived. Based onthe experimental data of triaxial compression tests, the calculated results are more realistic and reasonable comparedwith the linear regression method.
Keywords:random-fuzzy linear regression model  parameters estimation  numerical characteristic
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