Bayesian Nonparametric Spatially Smoothed Density Estimation

Timothy Hanson, Haiming Zhou, Vanda Calhau Fernandes Inacio De Carvalho

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)peer-review

Abstract / Description of output

A Bayesian nonparametric density estimator that changes smoothly in space is developed. The estimator is built using the predictive rule from a marginalized Polya
tree, modified so that observations are spatially weighted by their distance from the
location of interest. A simple renement is proposed to accommodate arbitrarily censored data and a test for whether the density is spatially varying is also developed. The method is illustrated on two real datasets, and an R function SpatDensReg is provided for general use.
Original languageEnglish
Title of host publicationNew Frontiers of Biostatistics and Bioinformatics
EditorsY Zhao, DG Chen
PublisherSpringer
Pages87-105
ISBN (Electronic)978-3-319-99389-8
ISBN (Print)978-3-319-99388-1
DOIs
Publication statusPublished - 6 Dec 2018

Publication series

NameICSA Book Series in Statistics
ISSN (Print)2199-0980

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