Laboratory measures of low-level contamination are typically strongly
skewed, and observations below a specified detection limit are recorde
d merely as not detectable or less than a specified limit. In these ci
rcumstances, a full description of the distribution requires assumptio
ns about the form of the lower tail. If such assumptions are made, the
distribution can be described in terms of the usual parameter estimat
es. The assumptions can be checked if similar samples can be accuratel
y assessed using specialized equipment with a very low detection limit
. Methods of fitting suitable distribution to data of this sort are di
scussed, and evaluated using results from a laboratory with equipment
capable of measuring very low contamination levels. Estimates based on
the complete data are compared with estimates based on assumed detect
ion limits.