WOD样本最近邻密度估计的相合性

摘要

The consistency of nearest neighbor density estimator fn∧(x)for widely orthant dependent samples un-der suitable conditions by widely upper orthant dependent exponential inequality is discussed in this paper. Some sufficient conditions for weak and strong consistency of the estimator fn∧(x)are given.The theory of this paper extends the consistency of nearest neighbor density estimator to the case of widely orthant dependent sam-ples.%利用WOD序列的指数不等式，在较弱条件下获得了WOD样本下最近邻密度估计fn∧（x）的相合性，并给出fn∧（x）的弱相合性、强相合性及速度的充分条件。将最近邻密度估计的相合性由NA样本推广到了WOD样本。