节点文献
生长曲线模型的多元广义压缩最小二乘估计类
The Multivariate General Compression LS Estimate of Regression Coefficient in Growth Curve Model
【摘要】 本文提出了生长曲线模型回归系数阵B的一类有偏估计──多元广义压缩LSE类.以改善设计阵呈病态时的LSE,讨论了它的可容许性,优效性以及在均方误差意义和Pitman接近原则下,改善LSE的条件,另外还讨论了它的相合性、最优性,Bayes性等优良性。
【Abstract】 In this paper, multivariate general compression LS estimate B_GS (W1,W2 )of theregression cofficient B is considered when the design matrix present ill-condition in growthcurne moelel. And the admissibility is discussed, We show the regions preferable to LSE undermean square error and pitman’s clossness repectively and also discuss the ather quality of B_GS(W1, W2), forexample consistency, Bayes quality and so on.
【关键词】 多元广义压缩LSE类;
均方误差;
Pitman接近原则;
【Key words】 Multivariate general compression LSE Mean square error Pitman’sclossness;
【Key words】 Multivariate general compression LSE Mean square error Pitman’sclossness;
- 【文献出处】 华东师范大学学报(自然科学版) ,JOURNAL OF EASTCHINA NORMAL UNIVERSITY(NATURAL SCIENCE) , 编辑部邮箱 ,1997年02期
- 【分类号】O212.4
- 【下载频次】30