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  • 郭德龙,夏慧明,周永权.基于改进进化策略的线性参数估计方法[J].广西科学,2010,17(4):318-320.    [点击复制]
  • GUO De-long,XIA Hui-ming,ZHOU Yong-quan.Linear Parameter Estimation Method Based on Improved Evolutionary Strategy[J].Guangxi Sciences,2010,17(4):318-320.   [点击复制]
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基于改进进化策略的线性参数估计方法
郭德龙1, 夏慧明2, 周永权3
0
(1.黔南民族师范学院数学系, 贵州都匀 558000;2.南京师范大学泰州学院数学系, 江苏泰州 225300;3.广西民族大学数学与计算机科学学院, 广西南宁 530006)
摘要:
针对线性回归模型,在最小二乘意义下,提出一种基于改进进化策略的线性参数估计方法并用仿真实例检验其有效性.该方法是将进化策略与最小二乘法相结合并且对算法中的变异算子作了相应改进.算法参数估计精度较高,收敛速度快,自适应性强,能有效处理线性回归参数估计问题.
关键词:  参数估计  进化策略  回归分析  最小二乘法
DOI:
投稿时间:2009-12-24修订日期:2010-03-17
基金项目:国家民委科研基金项目(08GX01),广西自然科学基金项目(0832082),黔南民族师范学院院级科研项目(QNSY0905)资助。
Linear Parameter Estimation Method Based on Improved Evolutionary Strategy
GUO De-long1, XIA Hui-ming2, ZHOU Yong-quan3
(1.Department of Maths Qiannan Normal University for Nationalities, Duyun, Guizhou, 558000, China;2.Department Math Taizhou College of Nanjing Normal University, Taizhou, Jiangsu, 225300, China;3.College of Math and Computer Science, Guangxi University for Nationalities, Nanning, Guangxi, 530006, China)
Abstract:
In terms of the least squares in linear regression modeling, a linear parameter estimation method is proposed basing on improved evolutionary strategy and its effectiveness is tested with simulation examples.The method combines evolutionary stratagy with the least square method, and the mutation operators of the algorithm are improved corespondingly.The parameter estimation algorithm has high precision, fast convergence speed, adaptabilily and can deal effectively with the problem of linear regression parameter estimation.
Key words:  parameter estimation  evolution strategy  regression analysis  least squares method

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