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方差分量模型参数估计问题研究
引用本文:蒋珍,张瑞,王石青,闫春凤.方差分量模型参数估计问题研究[J].南阳师范学院学报,2009,8(3).
作者姓名:蒋珍  张瑞  王石青  闫春凤
作者单位:1. 华北水利水电学院敖学与信息科学学院,河南,郑州,450011
2. 宝鸡文理学院数学系,陕西,宝鸡,721013
摘    要:方差分量模型的随机效应的协方差为单位阵时<线性模型引论>已进行研究.把随机效应的协方差推广为正定阵进行研究.用最小范数二次无偏估计法给出方差分量的估计.

关 键 词:方差分量模型  协方差阵  最小范教二次无偏估计

Research on the parameter estimation of variance component model
JIANG Zhen,ZHANG Rui,WANG Shi-qing,YAN Chun-feng.Research on the parameter estimation of variance component model[J].Journal of Nanyang Teachers College,2009,8(3).
Authors:JIANG Zhen  ZHANG Rui  WANG Shi-qing  YAN Chun-feng
Institution:1.College of Mathematics and Information Science;North China Institute of Water Conservancy and Hydroelectric Power;Zhengzhou 450011;China;2.Department of Mathematics;Baoji University of Arts and Science;Baoji 721013;China
Abstract:Variance component model of the random effects of covariance matrix unit for the "Linear model introduction" matrix has been studied.In this paper,the random effects of covariance matrix positive for the promotion of research.With minimum norm quadratic unbiased estimates of the variance components estimate is given.
Keywords:variance component model  covariance matrix  minimum norm quadratic unbiased estimator  
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