NA样本最近邻密度估计的相合性

CONSISTENCY OF NEAREST NEIGHBOR ESTIMATOR OF DENSITY FUNCTION FOR NEGATIVE ASSOCIATED SAMPLES

在NA样本下研究最近邻密度估计的相合性,给出弱相合性、强相合性、一致强相合性以及它们的收敛速度的充分条件,同时研究了失效率函数估计的一致强相合性。

This paper disscuses the consistency of nearest neighbor density estimator for negative associated samples. It gives some sufficent conditions for weak consistency, strong consistency, uniformly strong consistency and consistent rates. At the same time it researches the uniformly strong consistency of the hazard rate estimation.