  Here we present observations of 7 large Kuiper Belt Objects. From these
observations, we extract a point source catalog with $\sim0.01"$ precision, and
astrometry of our target Kuiper Belt Objects with $0.04-0.08"$ precision within
that catalog. We have developed a new technique to predict the future
occurrence of stellar occultations by Kuiper Belt Objects. The technique makes
use of a maximum likelihood approach which determines the best-fit adjustment
to cataloged orbital elements of an object. Using simulations of a theoretical
object, we discuss the merits and weaknesses of this technique compared to the
commonly adopted ephemeris offset approach. We demonstrate that both methods
suffer from separate weaknesses, and thus, together provide a fair assessment
of the true uncertainty in a particular prediction. We present occultation
predictions made by both methods for the 7 tracked objects, with dates as late
as 2015. Finally, we discuss observations of three separate close passages of
Quaoar to field stars, which reveal the accuracy of the element adjustment
approach, and which also demonstrate the necessity of considering the
uncertainty in stellar position when assessing potential occultations.
