期刊
JOURNAL OF MULTIVARIATE ANALYSIS
卷 99, 期 8, 页码 1503-1517出版社
ELSEVIER INC
DOI: 10.1016/j.jmva.2008.01.004
关键词
mixed linear model; transformed model; linear combination; best linear unbiased predictor (BLUP); linear sufficiency; linear minimal sufficiency; linear completeness
资金
- Huaiyin Institute of Technology [HGQ0637, HGQN0725]
The general mixed linear model can be written as y = X beta + Zu +e. In this paper, we mainly deal with two problems. Firstly, the problem of predicting a general linear combination of fixed effects and realized values of random effects in a general mixed linear model is considered and an explicit representation of the best linear unbiased predictor (BLUP) is derived. In addition, we apply the resulting conclusion to several special models and offer an alternative to characterization of BLUP. Secondly, we recall the notion of linear sufficiency and consider it as regards the BLUP problem and characterize it in several different ways. Further, we study the concepts of linear sufficiency, linear minimal sufficiency and linear completeness, and give relations among them. Finally, four concluding remarks are given. (c) 2008 Elsevier Inc. All rights reserved.
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