【摘要】 在LENQD相依序列生产的线性过程误差下,研究了固定设计非参数回归模型小波估计.利用LENQD序列的矩不等式和特征函数不等式,建立了未知回归函数小波估计的Berry-Esseen界.通过选取适当的参数,其界可达O(n^-1/6).所得结果推广了相关文献的研究结果.更多还原

【Abstract】 Based on linear process random errors generated by LENQD random sequence,the wavelet estimator of nonparametric fixed design regression model is considered.By the characteristic function inequality and moment inequality of LENQD random sequence,the Berry-Esseen bounds of the wavelet estimator for unknown regression function are obtained.And by choosing some suitable constants,their bounds can reach ■.The obtained results generalize the corresponding results in recent literature.更多还原