Consistency for the LS estimator in the linear EV regression model with replicate observations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	ShouFang Xu Nan Li

Institution:	1. Department of Mathematics and Information Science, Xinxiang University, Henan Province, 453000, China;2. College of Mathematics and Information Science, Henan Normal University, Henan Province, 453007, China

Abstract:	In this paper, we consider the following linear errors-in-variables regression model: $ξ_{i j} = x_{i} + δ_{i j}, η_{i j} = y_{i} + ε_{i j} = θ + β x_{i} + ε_{i j}$ , with independent identically distributed errors $(ε_{i j}, δ_{i j}), (j = 1, 2, \dots, n_{i}; i = 1, 2, \dots)$ . The strong and weak consistency for the LS estimators $\overset{?}{β}$ and $\overset{?}{θ}$ 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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