期刊文献+

线性回归与最小一乘法 被引量:6

Linear Regression and Least One-power Method
下载PDF
导出
摘要 论述了用最小一乘法估计两变数线性回归模型中的参数。计算方法为:通过定点的解法,一般解法,两点法和单纯形法。对于最小一乘解,在实际分析时会出现一些问题,如解的不灵敏性、解的多重性以及突出点的多少对回归线有不同影响等。 This paper describes the least one-power method of estimating the parameters in linear regression model of two variables,which is used in the solving method by fixed point, general solving method,two points method and simplex method. For the least one-power solution, in the practical analysis,some problems may appear,such as the insensitivity of solution,multi-fold solutions and the various eftbcts of outliers amount on the regression line.
作者 金光炎
出处 《水文》 CSCD 北大核心 1996年第3期1-6,共6页 Journal of China Hydrology
关键词 回归分析 最小一乘法 参数估计 线性回归 regression analysis least one-power method parameter estimation
  • 相关文献

同被引文献14

  • 1吴雅琴,李正最.最小一乘松弛算法[J].黑龙江大学工程学报,1999(4):23-26. 被引量:2
  • 2方开泰.实用回归分析[M].北京:科学出版社,1998..
  • 3G. H. Golub, C. F. V. Loan. An Analysis of the Total Least Squares Problems[J].SIAMJ. Numer. Anal, 1980, 17(6):883-893.
  • 4李正最.水文变量之间相关关系的逐步加权回归分析方法[J].湖南水利,1990,(4).
  • 5金光炎.回归模型的灵敏度分析[J].水文,1997,16(2):1-5. 被引量:2
  • 6A Bjork. Numerical Methods for Least Squares Problem [A]. Society for Industrial and Applied Mathematics [M]. Philadelphia, PA, 1996.
  • 7G H Golub, C F V Loan. An Analysis of the Total Least Squares Problems [J]. SIAMJ Numer Anal. 1980, 17(6): 883-893.
  • 8J Stoer, R Bulirsch. Introduction to Numerical Analysis [M]. 2nd Edition. Springer, New York, NK, 1993.
  • 9S Van Huffel, J Vandewalk. The Total Least Squares Problem:Computational Aspects and Analysis [A]. Society for Industrial and Applied Mathematics [M]. Philadelphia, PA. 1991.
  • 10W Gander, G H Golub, R Strebel.Least-Squares Fitting of Circles and Ellipses [J].BIT,1994, 34:558-578.

引证文献6

二级引证文献9

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部