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arXiv 2005.06633stat.ME
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线性面板数据模型的稳健估计

Robust Estimation for Linear Panel Data Models

Beste Hamiye Beyaztas, Soutir Bandyopadhyay

摘要:

在包括但不限于行为、环境、医学科学和计量经济学的不同应用领域中,面板数据回归模型的使用作为用于进行有意义的统计推断的一般框架已经变得越来越流行。然而,当使用普通最小二乘法(OLS)来估计模型参数时,离群值的存在可能会产生有偏和低效的估计,从而显著改变此类模型的充分性。在这项工作中,我们提出了一个新的,加权似然为基础的稳健估计程序的线性面板数据模型的固定和随机效应。有限样本性能的估计已被说明,通过广泛的模拟研究,以及与血压数据集的应用。我们的深入研究表明,所提出的估计显示出显着更好的性能比传统的方法在离群值的存在下,并产生竞争力的结果OLS为基础的估计时,没有离群值存在于数据集中。

英文摘要:

In different fields of applications including, but not limited to, behavioral, environmental, medical sciences and econometrics, the use of panel data regression models has become increasingly popular as a general framework for making meaningful statistical inferences. However, when the ordinary least squares (OLS) method is used to estimate the model parameters, presence of outliers may significantly alter the adequacy of such models by producing biased and inefficient estimates. In this work we propose a new, weighted likelihood based robust estimation procedure for linear panel data models with fixed and random effects. The finite sample performances of the proposed estimators have been illustrated through an extensive simulation study as well as with an application to blood pressure data set. Our thorough study demonstrates that the proposed estimators show significantly better performances over the traditional methods in the presence of outliers and produce competitive results to the OLS based estimates when no outliers are present in the data set.

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