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变系数线性结构关系EV模型中参数β〔t0〕的加权M估计的渐近正态性 被引量:3

Asymptotic Normality of Weighted M-Estimation of Parameters β〔t0〕 in the Linear Varying-coefficients Structural EV Models
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摘要 考虑变系数多维线性结构关系EV模型y=xTβ〔t〕,Y=y+ε,X=x+u,利用一般的函数ρ〔·〕.构造了参数β〔t〕=β1〔t〕,β2〔t〕,…,βp〔t〕T〕在t=t0处的参数β〔t0〕的估计量β^n〔t0〕,并证明它具有渐近正态性. In this paper, we consider the estimation of parametersβ(t)=(β1(t),β2(t),…,βρ(t))^τ in the multivari- ate varying - coefficients structural EV models y=x^Tβ(t),Y=y+ε,X=x+u. The weighted M - estimationβn (t0) of parametersβ1(t0) at t = to are constructed by using the general function ρ( · ) . The asymptotic nor- mality of estimator is also obtained.
作者 欧阳光
机构地区 湘南学院数学系
出处 《湘南学院学报》 2012年第5期14-18,共5页 Journal of Xiangnan University
关键词 变系数线性结构关系EV模型 加权M估计量 渐近正态性 varying - coefficient linear structure EV models weighted M - estimation asymptotic normality.
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