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增长曲线模型的两步估计及其优良性
引用本文:罗幼喜,邱忠仪,刘贤龙.增长曲线模型的两步估计及其优良性[J].华中师范大学学报(自然科学版),2006,40(1):12-15.
作者姓名:罗幼喜  邱忠仪  刘贤龙
作者单位:1. 湖北工业大学,理学院,武汉,430068
2. 湖北职业技术学院,湖北,孝感,432100
3. 华中师范大学,数学与统计学学院,武汉,430079
摘    要:讨论了增长曲线模型回归参数阵的两步估计问题,给出了回归参数阵的可估函数的两步估计具有无偏性的一个基本结论,并验证了两种常见两步估计均具有无偏性.

关 键 词:回归参数阵  误差协差阵  两步估计  无偏估计
文章编号:1000-1190(2006)01-0012-04
收稿时间:2005-07-18
修稿时间:2005-07-18

The two-stage estimate and its optimal properties in The growth curve model
LUO You-xi,QIU Zhong-yi,LIU Xian-long.The two-stage estimate and its optimal properties in The growth curve model[J].Journal of Central China Normal University(Natural Sciences),2006,40(1):12-15.
Authors:LUO You-xi  QIU Zhong-yi  LIU Xian-long
Institution:1. School of Science, Hubei University of Technology, Wuhan 430068; 2. Hubei Vocational Technical College, Xiaogan, Hubei 432100; 3. School of Mathematics and Statistics, Central China Normal University, Wuhan 430079
Abstract:The paper discussed the two-stage estimate of regression parameters in the growth curve model. An based resuh of on what conditions the two stage estimate of the estimable function is unbiased are given, furthermore, it has been tested that two common two-stage estimates are unbiased estimates.
Keywords:regression parameters  error covariance matrices  the two stage estimate unbiased estimate
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