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Simultaneous Optimality of LSE and ANOVA Estimate in General Mixed Models
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作者 Mi Xia WU Song Gui WANG Kai Fun YU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第10期1637-1650,共14页
Problems of the simultaneous optimal estimates and the optimal tests in general mixed models are considered. A necessary and sufficient condition is presented for the least squares estimate of the fixed effects and th... Problems of the simultaneous optimal estimates and the optimal tests in general mixed models are considered. A necessary and sufficient condition is presented for the least squares estimate of the fixed effects and the analysis of variance (Hendreson III's) estimate of variance components being uniformly minimum variance unbiased estimates simultaneously. This result can be applied to the problems of finding uniformly optimal unbiased tests and uniformly most accurate unbiased confidential interval on parameters of interest, and for finding equivalences of several common estimates of variance components. 展开更多
关键词 Linear mixed model Least squares estimate Analysis of variance estimate Minimum variance unbiased estimate uniformly most powerful unbiased test
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