Pointwise and uniform convergence of multivariate kernel density estimators using random bandwidths
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS(2017)
摘要
We obtain the rates of pointwise and uniform convergence of multivariate kernel density estimators using a random bandwidth vector obtained by some data-based algorithm. We are able to obtain faster rate for pointwise convergence. The uniform convergence rate is obtained under some moment condition on the marginal distribution. The rates are obtained under i.i.d. and strongly mixing type dependence assumptions.
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关键词
Multivariate kernel density estimator,random bandwidth
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