α-混合误差异方差部分线性EV模型的小波估计的Berry-Esseen界（英文）  

Berry-Esseen Bounds of Wavelet Estimators in a Heteroscedastic Partly Linear EV Model with α-Mixing Errors

作　　者：胡宏昌 HU Hongchang(School of Mathematics and Statistics,Hubei Normal University,Huangshi,435002,China)

机构地区：[1]湖北师范大学数学与统计学院,黄石435002

出　　处：《应用概率统计》2018年第3期221-245,共25页Chinese Journal of Applied Probability and Statistics

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11471105;11471223);the Innovation Team Project of Hubei Normal University(Grant No.T201505)

摘　　要：本文使用小波估计和最小二乘的方法研究误差为α-混合异方差的部分线性EV模型,给出了参数和非参数部分的小波估计.在一般的条件下得到了小波估计量的Berry-Esseen界.Using wavelet smoothing and least-squares methods,we investigate a heteroscedastic partly linear errors-in-variables(EV)model with -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.

关 键 词：部分线性EV模型 Berry-sseen界 α一混合 小波估计 

分 类 号：O212.1[理学—概率论与数理统计]