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张量线性回归模型中的参数估计与假设检验问题 被引量:3
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作者 石美丽 夏志明 《陕西师范大学学报(自然科学版)》 CAS CSCD 北大核心 2020年第2期110-116,共7页
研究张量线性回归模型中的参数估计与假设检验问题,先基于最小二乘法获得参数的点估计量,证明其相合性,并结合系数张量的CP(CANDECOMP/PARAFAC)分解结构给出该估计的近似算法--交替最小二乘法;其次建立了参数线性假设检验的拟似然比检... 研究张量线性回归模型中的参数估计与假设检验问题,先基于最小二乘法获得参数的点估计量,证明其相合性,并结合系数张量的CP(CANDECOMP/PARAFAC)分解结构给出该估计的近似算法--交替最小二乘法;其次建立了参数线性假设检验的拟似然比检验统计量,并证明其大样本性质。Monte Carlo模拟结果表明:交替最小二乘估计表现良好,且拟似然比检验统计量的经验分布与理论分布无显著差异,将该方法运用于文本数据分析中的英文字母计数问题,获得比较准确的预测结果。 展开更多
关键词 张量线性回归模型 交替最小二乘法 拟似然比 CP分解
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Estimation of surface tension of organic compounds using quantitative structure-property relationship 被引量:2
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作者 戴益民 刘又年 +3 位作者 李浔 曹忠 朱志平 杨道武 《Journal of Central South University》 SCIE EI CAS 2012年第1期93-100,共8页
A novel quantitative structure-property relationship (QSPR) model for estimating the solution surface tension of 92 organic compounds at 20℃ was developed based on newly introduced atom-type topological indices. Th... A novel quantitative structure-property relationship (QSPR) model for estimating the solution surface tension of 92 organic compounds at 20℃ was developed based on newly introduced atom-type topological indices. The data set contained non-polar and polar liquids, and saturated and unsaturated compounds. The regression analysis shows that excellent result is obtained with multiple linear regression. The predictive power of the proposed model was discussed using the leave-one-out (LOO) cross-validated (CV) method. The correlation coefficient (R) and the leave-one-out cross-validation correlation coefficient (Rcv) of multiple linear regression model are 0.991 4 and 0.991 3, respectively. The new model gives the average absolute relative deviation of 1.81% for 92 substances. The result demonstrates that novel topological indices based on the equilibrium electro-negativity of atom and the relative bond length are useful model parameters for QSPR analysis of compounds. 展开更多
关键词 surface tension quantitative structure-property relationship (QSPR) topological indice organic compound
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