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回归系数随机时线性预测的可容许性
Admisibility of Random Linear Prediction to the Case of Regression Coefficients
【摘要】 在二次损失下研究了具有随机回归系数的任意秩有限总体中线性预测的可容许性,分别得到了线性预测Lys(Lys+a)在线性预测类和一切预测类中是可容许线性预测的充要条件.
【Abstract】 Admissibility of linear prediction in finite populations with arbitrary rank under quadratic loss is investigated.For the general random effects linear model,the authors obtain the necessary and sufficient conditions for a linear prediction Ly_s(Ly_s+a) of Qy to be admissible in the class of homogenous linear predictions(linear predictions) and the class that contains all predictions.
【关键词】 二次损失;
随机回归系数;
有限总体;
线性预测;
可容许性;
【Key words】 quadratic loss; random regression coefficient; finite population; linear prediction; admissibility;
【Key words】 quadratic loss; random regression coefficient; finite population; linear prediction; admissibility;
【基金】 国家自然科学基金资助项目(10571010)
- 【文献出处】 吉首大学学报(自然科学版) ,Journal of Jishou University(Natural Sciences Edition) , 编辑部邮箱 ,2006年06期
- 【分类号】O212.1
- 【下载频次】30