研究了误差为AANA序列时非参数回归模型未知函数g(·)估计量的相合性问题,而AANA序列比NA序列要弱.在-般的条件下,利用C,不等式、Jensen不等式、AANA序列的极大值不等式以及权函数的-些性质,给出了非参数回归模型未知函数g(·)估计量的P-阶平均相合性和-致P-阶平均相合性,推广了相关文献已获得的部分结果.
In this paper, we investigate the consistency of unknown function g( · ) for the nonparametric regression model based on AANA errors, where AANA sequence is weaker than NA sequence. Under some general conditions, by using Crinequality, Jensen inequality, the maximal inequality of AANA sequence and some properties of weighted functions, we obtain the p -mean convergence and uniform p -mean convergence for the estimator of g( · ) of the nonparametric regression model, which generalize other corresponding results.