In this paper, we mainly study the consistency of the nearest neighbor estimator of the density function based on asymptotically almost negatively associated samples. The weak consistency,strong consistency, uniformly...In this paper, we mainly study the consistency of the nearest neighbor estimator of the density function based on asymptotically almost negatively associated samples. The weak consistency,strong consistency, uniformly strong consistency and the convergence rates are established under some mild conditions. As applications, we further investigate the strong consistency and the rate of strong consistency for hazard rate function estimator.展开更多
基金Supported by the National Natural Science Foundation of China(Grant Nos.11671012,11871072,11701004 and 11701005)the Natural Science Foundation of Anhui Province(Grant No.1508085J06)+2 种基金the Key Projects for Academic Talent of Anhui Province(Grant No.gxbjZD2016005)the Project on Reserve Candidates for Academic and Technical Leaders of Anhui Province(Grant No.2017H123)the Research Teaching Model Curriculum of Anhui University(Grant No.xjyjkc1407)
文摘In this paper, we mainly study the consistency of the nearest neighbor estimator of the density function based on asymptotically almost negatively associated samples. The weak consistency,strong consistency, uniformly strong consistency and the convergence rates are established under some mild conditions. As applications, we further investigate the strong consistency and the rate of strong consistency for hazard rate function estimator.
