回归系数Pitman估计的优良性(Ⅱ)

洪圣岩;成平

系统科学与数学 ›› 1995, Vol. 15 ›› Issue (1) : 58-063.

PDF(235 KB)
PDF(235 KB)
系统科学与数学 ›› 1995, Vol. 15 ›› Issue (1) : 58-063. DOI: 10.12341/jssms09139
论文

回归系数Pitman估计的优良性(Ⅱ)

    洪圣岩(1);成平(2)
作者信息 +

THE ASYMPTOTIC EFFICIENCY OF PITMANESTIMATOR FOR REGRESSION PARAMETERS HONG SHENG-YAN

    HOG SHENGYAN(1);CHENG PING(2)
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摘要

对线性回归模型Y=Xβ+ε,证明了回归系数β的Pitman估计的渐近有效性,并推广了Port和Stone[5]关于位移参数的有关结果,去掉了及文[4]中所施加的矩限制.

Abstract

Let Y = Xβ+εbe a linear regression model. In this paper,we prove that the Pitman estimator of g has asymptotic efficiency which generalizes the result of Port and Stone for the location parameter case. We do not fleed the existence of any moment for ε.

关键词

回归系数 / Pitman估计 / 渐近有效性 /

Key words

Asymptotic / Efficiency Pitman estimator / regression.

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洪圣岩 , 成平. 回归系数Pitman估计的优良性(Ⅱ). 系统科学与数学, 1995, 15(1): 58-063. https://doi.org/10.12341/jssms09139
HOG SHENGYAN , CHENG PING. THE ASYMPTOTIC EFFICIENCY OF PITMANESTIMATOR FOR REGRESSION PARAMETERS HONG SHENG-YAN. Journal of Systems Science and Mathematical Sciences, 1995, 15(1): 58-063 https://doi.org/10.12341/jssms09139
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