Representations for Integral Functionals of Kernel Density Estimators

We establish a representation as a sum of independent random variables, plus a remainder term, for estimators of integral functionals of the density function, which have a certain simple structure. From this representation we derive a central limit theorem, a law of large numbers and a law of the it...

Full description

Bibliographic Details
Main Author: David M. Mason
Format: Article
Language:English
Published: Austrian Statistical Society 2016-04-01
Series:Austrian Journal of Statistics
Online Access:http://www.ajs.or.at/index.php/ajs/article/view/453