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最小一乘估计的最优化方法与灵敏度分析
引用本文:米翠兰,王新春,肖继先,徐志元. 最小一乘估计的最优化方法与灵敏度分析[J]. 数学的实践与认识, 2011, 41(11)
作者姓名:米翠兰  王新春  肖继先  徐志元
作者单位:河北联合大学理学院,河北唐山,063009
摘    要:最小一乘估计是人们最常用的回归方法之一,因为其回归结果受奇异点的影响较小,从而受到人们越来越多的关注,鉴于此方法所构造模型的非光滑性,进而增加了其计算的难度.针对不同观测结果及需求,将最小一乘模型转化成不同的线性规划模型,利用相应的求解软件进行求解.并针对不同情况对结果进行了灵敏度分析,从而找出了影响结果的因素.

关 键 词:最小一乘估计  线性规划  灵敏度分析  目标函数

Least Absolue Estimation Optimiaztion and it's Sensitivity Analysis
MI Cui-lan,WANG Xin-chun,XIAO Ji-xian,XU Zhi-yuan. Least Absolue Estimation Optimiaztion and it's Sensitivity Analysis[J]. Mathematics in Practice and Theory, 2011, 41(11)
Authors:MI Cui-lan  WANG Xin-chun  XIAO Ji-xian  XU Zhi-yuan
Abstract:Least squares estimation is a kind of commonly regression method.In this method,the regression results are less affected by the singualarity,so it is concerned more and more by many scholars.Given the smoothness of the constructed model in the way. Thus there are some difficulties in he calculation.According the different observations and demand.Articles least absolute deviation model transforms to different linear model and Solutes it,then conductes a sensitivity analysis,thus finds the factors of fluencing the results.
Keywords:Least Absolute Deviation Estimator(LAD)  linear programming  Sensitivity analysis  objective function
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