设{(Xn;n≥1)}为平稳φ-混合序列,具有共同的密度函数f(x)。基于样本X1,X2,…,Xn,在f(x)满足适当的条件下得到了最近邻密度估计一般性逐点弱相合速度和强相合速度,并改进了柴根象的相合速度。
Let {(Xn;n≥1}) be stationary φ-mixing sequence,there is common density f(x).Based on X1,X2,…,Xn,the rate of pointwise consistency and strong consistency of neareast neighbor density estimator can be proved when f(x) meets the appropriate conditions and the consistency rate of Genxiang Cai is improved.