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引用本文:�����. �������췽�������EVģ�͵�С�����Ƶ�Berry-Esseen��[J]. 应用概率统计, 2018, 34(3): 221-245. DOI: 10.3969/j.issn.1001-4268.2018.03.001
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Berry-Esseen Bounds of Wavelet Estimators in a Heteroscedastic Partly Linear EV Model with alpha-Mixing Errors
HU Hongchang. Berry-Esseen Bounds of Wavelet Estimators in a Heteroscedastic Partly Linear EV Model with alpha-Mixing Errors[J]. Chinese Journal of Applied Probability and Statisties, 2018, 34(3): 221-245. DOI: 10.3969/j.issn.1001-4268.2018.03.001
Authors:HU Hongchang
Affiliation:School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China
Abstract:Using wavelet smoothing and least-squares methods,we investigate a heteroscedastic partly linear errors-in-variables (EV)model with $alpha$-mixing random errors. The wavelet estimators of the parametric parts and nonparametric parts are given, and Berry-Esseen bounds of wavelet estimators are obtained under general conditions.
Keywords:partly linear EV model   Berry-Esseen bound   alpha-mixing   wavelet estimator  
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