YANG Shanchao. The Rate of Strong Consistency of Nearest Neighbor Density Estimator for Independent Samples[J]. Chinese Journal of Applied Probability and Statistics, 2002, 18(4): 405-408.
Citation:
YANG Shanchao. The Rate of Strong Consistency of Nearest Neighbor Density Estimator for Independent Samples[J]. Chinese Journal of Applied Probability and Statistics, 2002, 18(4): 405-408.
YANG Shanchao. The Rate of Strong Consistency of Nearest Neighbor Density Estimator for Independent Samples[J]. Chinese Journal of Applied Probability and Statistics, 2002, 18(4): 405-408.
Citation:
YANG Shanchao. The Rate of Strong Consistency of Nearest Neighbor Density Estimator for Independent Samples[J]. Chinese Journal of Applied Probability and Statistics, 2002, 18(4): 405-408.
The Rate of Strong Consistency of Nearest Neighbor Density Estimator for Independent Samples
Suppose that X1,X2,…,Xn are i.i.d. samles, with a common density function f（x）. This paper gives that the rate of the strong consistency of nearest neighbor density estimator under some suitable conditions. This rate can get O（n-1/3（logn）1/3）.
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