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Robust Inference for Seemingly Unrelated Regression Models

机译:看似无关的回归模型的鲁棒推断

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摘要

Seemingly unrelated regression models generalize linear regression models byconsidering multiple regression equations that are linked by contemporaneouslycorrelated disturbances. Robust inference for seemingly unrelated regressionmodels is considered. MM-estimators are introduced to obtain estimators thathave both a high breakdown point and a high normal efficiency. A fast androbust bootstrap procedure is developed to obtain robust inference for theseestimators. Confidence intervals for the model parameters as well as hypothesistests for linear restrictions of the regression coefficients in seeminglyunrelated regression models are constructed. Moreover, in order to evaluate theneed for a seemingly unrelated regression model, a robust procedure is proposedto test for the presence of correlation among the disturbances. The performanceof the fast and robust bootstrap inference is evaluated empirically insimulation studies and illustrated on real data.
机译:似乎不相关的回归模型通过考虑由同时相关的干扰联系在一起的多个回归方程来概括线性回归模型。考虑看似无关的回归模型的稳健推断。引入MM估计器以获得具有高击穿点和高正常效率的估计器。开发了一种快速且鲁棒的引导程序,以为这些估计量获得可靠的推断。构建了看似无关的回归模型中模型参数的置信区间以及回归系数线性限制的假设检验。此外,为了评估看似无关的回归模型的需求,提出了一种鲁棒的程序来测试干扰之间的相关性。快速和鲁棒的自举推理的性能通过经验模拟研究进行评估,并在真实数据上进行说明。

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