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| Rate of Convergence of Nearest Neighbor Density Estimates | |
| 作者姓名： | 徐业基 |
| 作者单位： | Fudan Uuiversity |
| 摘 要： | Let X_1,…,X_n be i.i.d.samples drawn from a one-dimensional population with unknowndensity function f(x),Loftsgarden and Quesenberry proposed the following estimate f_n(x)forf(x):Choose positive integer k(n)≤n,find the smallest a_n(x)such that N_n(x-a_n(x),x+a_n(x))≥k(n),and define.This is the so-called Nearest Neighbor Estimator.In this paper,we obtained the following theorem: |
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