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| Content Provider | Springer Nature Link |
|---|---|
| Author | Wang, Song Gui Wu, Mi Xia Yu, Kai Fun |
| Copyright Year | 2008 |
| Abstract | 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. |
| Ending Page | 1650 |
| Page Count | 14 |
| Starting Page | 1637 |
| File Format | |
| ISSN | 14398516 |
| e-ISSN | 14397617 |
| Journal | Acta Mathematica Sinica, English Series |
| Issue Number | 10 |
| Volume Number | 24 |
| Language | English |
| Publisher | Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |
| Publisher Date | 2008-10-05 |
| Publisher Place | Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Hypothesis testing Linear mixed model Analysis of variance and covariance Minimum variance unbiased estimate Point estimation Least squares estimate Mathematics Analysis of variance estimate Uniformly most powerful unbiased test |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
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