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椭球约束下拓展的广义岭型估计
Generalized Ridge Estimate under the Ellipsoidal Restriction Develops
【摘要】 对于设计矩阵病态的线性回归模型y=Xβ+e,e-(0,σ2W),W≥0,给出适当的约束条件,得到了拓展的广义岭型估计,并进一步研究了其性质,得到了MDE-I有效于GLS的充分条件,改进了前人的研究结果.
【Abstract】 For the linear regression model Y=X β+e,e~(0,σ2W),W≥0,rank(X)=q, Some appropriate restrictions are given,the generalized ridge estimation of the linear model’s parameter under the ellipsoidal restriction is obtained,and their characters are studied further,the sufficient and necessary term is obtained that MDE-I affects GLS.
【关键词】 广义岭型估计;
椭球约束;
广义逆;
【Key words】 generalized ridge estimate; ellipsoidal restriction; generalized counter;
【Key words】 generalized ridge estimate; ellipsoidal restriction; generalized counter;
【基金】 河南省自然科学基金资助项目(0611052600)
- 【文献出处】 华北水利水电学院学报 ,Journal of North China Institute of Water Conservancy and Hydroelectric Power , 编辑部邮箱 ,2007年01期
- 【分类号】O212.4
- 【被引频次】3
- 【下载频次】60