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Empirical Likelihood-based Dimension Reduction Inference for Linear Error-in-Responses Models with Validation Study

机译:基于经验似然的降维推理在线性误差响应模型中的验证研究

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摘要

In this paper, linear errors-in-response models are considered in the presence of validation data on the responses. A semiparametric dimension reduction technique is employed to define an estimator of β with asymptotic normality, the estimated empirical loglikelihoods and the adjusted empirical loglikelihoods for the vector of regression coefficients and linear combinations of the regression coefficients, respectively. The estimated empirical log-likelihoods are shown to be asymptotically distributed as weighted sums of independent Χ21 and the adjusted empirical loglikelihoods are proved to be asymptotically distributed as standard chi-squares, respectively. A simulation study is conducted to compare the proposed methods in terms of coverage accuracies and average lengths of the confidence intervals.
机译:在本文中,在响应中存在验证数据的情况下,考虑了线性误差响应模型。采用半参数降维技术分别定义回归系数向量和回归系数线性组合的β估计量,其估计具有渐近正态性,估计的经验对数似然和调整后的经验对数似然。估计的经验对数似然被证明是渐近分布的,作为独立Χ21的加权和,而调整后的经验对数似然被证明是渐近地分布为标准卡方。进行了仿真研究,以比较覆盖精度和置信区间的平均长度所提出的方法。

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