Density Estimation in Several Populations With Uncertain Population Membership

Yanyuan Ma, Jeffrey D. Hart, Raymond J. Carroll

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


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.
Original languageEnglish (US)
Pages (from-to)1180-1192
Number of pages13
JournalJournal of the American Statistical Association
Issue number495
StatePublished - Sep 2011
Externally publishedYes


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