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病态分析体系有偏估计的研究
引用本文:刘平 梁逸曾. 病态分析体系有偏估计的研究[J]. 分析化学, 1995, 23(12): 1447-1450
作者姓名:刘平 梁逸曾
作者单位:常德高等师范专科学校化学系(刘平),湖南大学化学化工系!长沙410082(梁逸曾,俞汝勤)
基金项目:国家自然科学基金及国家教委霍英东基金资助课题
摘    要:运用广义岭估计和Liukejian提出的有偏估计,对病态分析体系进行了数值模拟和实际光度测定,结果表明,广义岭估计显优于最小二乘估计,Liukejian法有功效,可和为解析病态分析体系的化学计量学方法。

关 键 词:病态分析体系 有偏估计 化学计量学

Study on Estimates for Ill-conditioned Analytical Systems
Liu Ping,Liang Yizeng,Yu Ruqin. Study on Estimates for Ill-conditioned Analytical Systems[J]. Chinese Journal of Analytical Chemistry, 1995, 23(12): 1447-1450
Authors:Liu Ping  Liang Yizeng  Yu Ruqin
Abstract:The generalized ridge regression(GRR) and the biased estimating method developed by Liu Kejian(LK) were applied to the analysis of ill-conditioned analytical systems. Both computer simulation and real data were studied. Results showed that GRR is superior significantly to LS and LK can also improve the concentration estimates somehow. Both Methods can be used to analyze ill-conditioned systems.
Keywords:Ill-conditioned analytical systems   biased estimation   generalized ridge regres sion   chemometrics
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