Central limit theorem for the variable bandwidth kernel density estimators
Statistics Theory
2017-12-05 v1 Statistics Theory
Abstract
In this paper we study the ideal variable bandwidth kernel density estimator introduced by McKay (1993) and Jones, McKay and Hu (1994) and the plug-in practical version of the variable bandwidth kernel estimator with two sequences of bandwidths as in Gin\'e and Sang (2013). Based on the bias and variance analysis of the ideal and true variable bandwidth kernel density estimators, we study the central limit theorems for each of them.
Cite
@article{arxiv.1712.00541,
title = {Central limit theorem for the variable bandwidth kernel density estimators},
author = {Janet Nakarmi and Hailin Sang},
journal= {arXiv preprint arXiv:1712.00541},
year = {2017}
}
Comments
19 pages, 1 figure