@article{f024f49572f148908f30639d05ea5fe6,
title = "Density estimation in several populations with uncertain population membership",
abstract = "We devise methods to estimate probability density functions of several populations using observations with uncertain population membership, meaning from which population an observation comes is unknown. The probability of an observation being sampled from any given population can be calculated. We develop general estimation procedures and bandwidth selection methods for our setting. We establish large-sample properties and study finite-sample performance using simulation studies. We illustrate our methods with data from a nutrition study.",
author = "Yanyuan Ma and Hart, {Jeffrey D.} and Carroll, {Raymond J.}",
note = "Funding Information: Yanyuan Ma is Professor (E-mail:
[email protected]), Jeffrey D. Hart is Professor (E-mail:
[email protected]), and Raymond J. Carroll is Distinguished Professor (E-mail:
[email protected]), Department of Statistics, Texas A&M University, College Station, TX 77843-3143. Ma{\textquoteright}s research was supported by the National Science Foundation grant DMS-090634 and National Institute of Health grant R01-NS 073671. Carroll{\textquoteright}s research was supported by National Cancer Institute grant R37-CA057030 and National Science Foundation Instrumentation grant 0922866. This publication is based in part on work supported by King Abdullah University of Science and Technology (award KUS-CI-016-04).",
year = "2011",
doi = "10.1198/jasa.2011.tm10798",
language = "English (US)",
volume = "106",
pages = "1180--1192",
journal = "Journal of the American Statistical Association",
issn = "0162-1459",
publisher = "Taylor and Francis Ltd.",
number = "495",
}