Conceptual and statistical issues surrounding the estimation of a backgroun
d concentration distribution for arsenic are reviewed. How background area
is defined and samples collected are shown to impact the shape and location
of the probability density function that in turn affects the estimation an
d precision of associated distributional parameters. The overall background
concentration distribution is conceptualized as a mixture of a natural bac
kground distribution, an anthropogenic background distribution and a distri
bution designed to accommodate the potential for contamination site samples
being included into the background sample set. This concept is extended to
a discussion of issues surrounding estimation of natural and anthropogenic
background distributions for larger geographic areas. Finally, the mixture
model is formally defined and statistical approaches to estimating its par
ameters discussed. (C) 2001 AEHS.