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Faculty of Economics

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Kong, E., Linton, O. and Xia, Y.

Uniform Bahadur representation for local polynomial estimates of M-regression and its application to the additive model

Econometric Theory

Abstract: We use local polynomial fitting to estimate the nonparametric M-regression function for strongly mixing stationary processes {(Yi, Xi)}. We establish a strong uniform consistency rate for the Bahadur representation of estimators of the regression function and its derivatives. These results are fundamental for statistical inference and for applications that involve plugging such estimators into other functionals where some control over higher order terms is required. We apply our results to the estimation of an additive M-regression model.

Author links: Oliver Linton  

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Papers and Publications

Recent Publications

Faraglia, E., Marcet, A., Oikonomou, R. and Scott, A. Government Debt management: the Short and the Long of it Review of Economic Studies, accepted [2018]

Elliott, M. and Golub, B. A network approach to public goods accepted, Journal of Political Economy [2018]

Fruehwirth, J., Iyer, S. and Zhang, A. Religion and Depression in Adolescence Journal of Political Economy, forthcoming [2019]