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不等式约束增长曲线模型中线性预测的可容许性
引用本文:周志龙,朱宁.不等式约束增长曲线模型中线性预测的可容许性[J].西南师范大学学报(自然科学版),2009,34(5).
作者姓名:周志龙  朱宁
作者单位:桂林电子科技大学数学与计算科学学院,广西,桂林,541004
基金项目:广西区"十一五"教改工程项目 
摘    要:根据线性预测可容许性的定义,利用矩阵的有关性质,得到了齐次线性预测(非齐次线性预测)在齐次线性预测类(非齐次线性预测类)中是可容许性预测的充分必要条件,推广了以往文献的有关结论.

关 键 词:可容许性  线性可预测变量  损失函数  增长曲线模型

Admissibility of Linear Predictor in Growth Curve Model with Respect to Inequality Restriction
ZHOU Zhi-long,ZHU Ning.Admissibility of Linear Predictor in Growth Curve Model with Respect to Inequality Restriction[J].Journal of Southwest China Normal University(Natural Science),2009,34(5).
Authors:ZHOU Zhi-long  ZHU Ning
Abstract:Admissibility of linear predictors of future observations in the growth curve model with respect to inequality restriction are studied. According to the definition of admissible linear predictor and using some properties of matrix, necessary and sufficient conditions for a linear predictor DYF(DYF+M) of KY0L to be admissible in class of homogeneous linear predictors(nonhomogeneous linear predictors) are obtained. They are generalizations of some existing results in literature.
Keywords:admissibility  linear predictable variable  loss function  growth curve model
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