@article{db4931b4f6144466871dc49f98144553,
title = "On kernel estimators of density ratio",
abstract = "Let f (x) and g(x) denote two probability density functions and g(x) ≠ 0. There are two ways to estimate the density ratio f (x)/g(x). One is to estimate f (x) and g(x) first and then the ratio, the other is to estimate f (x)/g(x) directly. In this paper, we derive asymptotic mean square errors and central limit theorems for both estimators.",
keywords = "Central limit theorem, Density ratio, Kernel estimators, Mean square error",
author = "Chen, {Sy Mien} and Hsu, {Yu Sheng} and Liaw, {Jian Tong}",
note = "Funding Information: All the authors thank the Editor and Referees for their excellent comments and suggestions that greatly improved the article. This research was supported in part by research grants to the first author from the Fu Jen Catholic University Cross Cultural Centre, 0161-G-1999-1.0-0101.",
year = "2009",
month = oct,
doi = "10.1080/02331880802496399",
language = "???core.languages.en_GB???",
volume = "43",
pages = "463--479",
journal = "Statistics",
issn = "0233-1888",
number = "5",
}