两类误差下回归函数估计的收敛速度

摘要

Under convergence system and ρ mixing sequence, the estimate of regression function in the designed nonparametric regression model is investigated. In the error convergence system, the convergence speed of the estimate is obtained under weak moment conditions, and in the error distributed ρ mixing sequence, the convergence speed of the estimate is obtained.%在收敛系统和ρ混合序列情形下，研究了固定设计下非参数回归模型中的回归函数估计。在误差为收敛系统时，得到了较弱矩条件下该估计的收敛速度；在误差为同分布ρ混合序列时，得到了该估计的收敛速度。