Density Estimation in Several Populations With Uncertain Population Membership

Handle URI:
http://hdl.handle.net/10754/597926
Title:
Density Estimation in Several Populations With Uncertain Population Membership
Authors:
Ma, Yanyuan; Hart, Jeffrey D.; Carroll, Raymond J.
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.
Citation:
Ma Y, Hart JD, Carroll RJ (2011) Density Estimation in Several Populations With Uncertain Population Membership. Journal of the American Statistical Association 106: 1180–1192. Available: http://dx.doi.org/10.1198/jasa.2011.tm10798.
Publisher:
Informa UK Limited
Journal:
Journal of the American Statistical Association
KAUST Grant Number:
KUS-CI-016-04
Issue Date:
Sep-2011
DOI:
10.1198/jasa.2011.tm10798
PubMed ID:
22368314
PubMed Central ID:
PMC3285389
Type:
Article
ISSN:
0162-1459; 1537-274X
Sponsors:
This publication is based in part on work supported by King Abdullah University of Science and Technology (award KUS-CI-016-04).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorMa, Yanyuanen
dc.contributor.authorHart, Jeffrey D.en
dc.contributor.authorCarroll, Raymond J.en
dc.date.accessioned2016-02-25T12:59:00Zen
dc.date.available2016-02-25T12:59:00Zen
dc.date.issued2011-09en
dc.identifier.citationMa Y, Hart JD, Carroll RJ (2011) Density Estimation in Several Populations With Uncertain Population Membership. Journal of the American Statistical Association 106: 1180–1192. Available: http://dx.doi.org/10.1198/jasa.2011.tm10798.en
dc.identifier.issn0162-1459en
dc.identifier.issn1537-274Xen
dc.identifier.pmid22368314en
dc.identifier.doi10.1198/jasa.2011.tm10798en
dc.identifier.urihttp://hdl.handle.net/10754/597926en
dc.description.abstractWe 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.en
dc.description.sponsorshipThis publication is based in part on work supported by King Abdullah University of Science and Technology (award KUS-CI-016-04).en
dc.publisherInforma UK Limiteden
dc.subjectCross-validationen
dc.subjectLeast squaresen
dc.subjectPlug-in methoden
dc.subjectUncertain sampleen
dc.titleDensity Estimation in Several Populations With Uncertain Population Membershipen
dc.typeArticleen
dc.identifier.journalJournal of the American Statistical Associationen
dc.identifier.pmcidPMC3285389en
dc.contributor.institutionDepartment of Statistics, Texas A&M University, College Station, TX 77843-3143.en
kaust.grant.numberKUS-CI-016-04en
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