Article ID Journal Published Year Pages File Type
1144618 Journal of the Korean Statistical Society 2014 12 Pages PDF
Abstract
The purpose of this paper is to study the asymptotic behaviour of the recursive kernel density estimator. This estimator was introduced and investigated by Amiri (2010) for independent and α-mixing sequences. In this work, we are interested in η-weak dependence, which is different from the notion of α-mixing. We provide the variance and the mean squared error of this estimator. The asymptotic normality is also discussed. A simulation study for two η-dependent models which are not necessarily α-mixing shows the advantage in time computation of considering the recursive kernel estimation rather than the Parzen-Rosenblatt one.
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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