Rate of uniform strong consistency of nearest neighbor estimator of density function for pariwise NQD samples
Lan Chongfen · Journal of Fuyang Teachers College · 2013
It is supposed that X 1,X 2,…,X n are independent and identically distributed pariwise NQD samples,with a common density function f( x). By using the Bernstein type inequality for pariwise NQD sequences,the rate of uniform strong consistency of nearest neighbor estimator of density function for negatively associated( NA) samples is extended to pariwise NQD samples. Under much weaker conditions,the results are as good as the corresponding ones for NA samples.