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摘要
This paper considers predictions of vectors of parameters under a general linear model with the random coefficients satisfying . It utilizes a standard method of solving constrained quadratic matrix-valued function optimization problem in the Lowner partial ordering, and obtains the best linear unbiased predictor (BLUP) of given vector of the unknown parameters in the model. Some special cases of the BLUPs are also presented. In particular, a general decomposition equality is proved under the random-effects model. A further problem on BLUPs of new observations under the random-effects model is also addressed.
- 出版日期2015-11
- 单位中央财经大学
