  The Cryogenic Dark Matter Search (CDMS) II uses crystals operated at
milliKelvin temperature to search for dark matter. We present the details of
the profile likelihood analysis of 140.2 kg-day exposure from the final data
set of the CDMS II Si detectors that revealed three WIMP-candidate events. We
found that this result favors a WIMP+background hypothesis over the
known-background-only hypothesis at the 99.81% confidence level. This paper is
dedicated to the description of the profile likelihood analysis dedicated to
the CDMSII-Si data and discusses such analysis techniques in the scope of rare
event searches.
