| 一般混合线性模型固定效应、随机效应与另一随机向量的联合估计 |
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| 引用本文： | 周永正.一般混合线性模型固定效应、随机效应与另一随机向量的联合估计[J].数学的实践与认识,2011,41(19). |
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| 作者姓名： | 周永正 |
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| 作者单位： | 景德镇陶瓷学院信息工程学院,江西景德镇,333403 |
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| 基金项目： | 江西省自然科学基金(2010GQS0119); 江西教育厅科研课题(GJJ10223) |
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| 摘 要： | 讨论一般混合线性模型中固定效应β、随机效应ξ_i(i=1,2,…,k)与另一随机向量δ的联合估计,得到了β、ξ_i(i=1,2,…,k)及δ的线性组合的最佳线性无偏估计,推广了有关文献中的结果,并从一个直观角度刻划了β、ξ_i(i=1,2,…,k)与δ的线性组合的最佳线性无偏估计的一种最优性,推广有关文献的结果.
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| 关 键 词： | 混合线性模型 联合估计 最佳线性无偏估计 最优性 |
A Simultaneous Estirmation of Fixed Effects and Random Effects and Another Random Vector on General Mixed Linear Models |
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| ZHOU Yong-zheng.A Simultaneous Estirmation of Fixed Effects and Random Effects and Another Random Vector on General Mixed Linear Models[J].Mathematics in Practice and Theory,2011,41(19). |
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| Authors: | ZHOU Yong-zheng |
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| Institution: | ZHOU Yong-zheng (College of Information Engineering,Jingdezhen Ceramic Institute,Jingdezhen 333403,China) |
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| Abstract: | In this paper,it is treated the simultaneous estimation of fixed effectβand random effetsξ_i(i=1,2,…,k) and another random vectorδin general mixed linear models.It is derived the Best Linear Unbiased Estimate for the combination ofβandξ_i(i=1,2,…,k) andδ.The relevant results in the literature are extended.It is depicted an optimal of Best Linear Unbiased Estimate for the combination onβandξ_i(i=1,2,…,k) andδfrom a object angle,the results in the literature are extended. |
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| Keywords: | mixed linear models simultaneous estimation best linear unbiased estimate optimal property |
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