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。
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.
出处
《北京科技大学学报》
EI
CAS
CSCD
北大核心
2004年第3期326-329,共4页
Journal of University of Science and Technology Beijing
基金
国家"十五"科技攻关计划课题(No.2001BA609A-08)
关键词
随机-模糊线性回归模型
参数估计
数字特征
Calculations
Compression testing
Correlation methods
Fuzzy sets
Mathematical models
Parameter estimation