Consistency for the LS estimator in the linear EV regression model with replicate observations

被引:0
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作者
ShouFang Xu
Nan Li
机构
[1] Xinxiang University,Department of Mathematics and Information Science
[2] Henan Normal University,College of Mathematics and Information Science
关键词
62E20; 62J05; Linear EV model; LS estimator; Strong and weak consistency;
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摘要
In this paper, we consider the following linear errors-in-variables regression model: ξij = χi + δij, ηij = yi + εij = θ + βχi + εij, with independent identically distributed errors (εij, δij), (j = 1, 2, …, ni; i = 1, 2, …). The strong and weak consistency for the LS estimators βˆ and θˆ of the unknown parameters β, θ in this model are obtained, which weaken some known conditions and improve some known results.
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页码:451 / 458
页数:7
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