  The Milagro telescope monitors the northern sky for 100 GeV - 100 TeV
transient emission through continuous very high energy wide-field observations.
The large effective area and low energy threshold of Milagro allow it to detect
very high energy gamma-ray burst emission with much higher sensitivity than
previous instruments, and a fluence sensitivity at TeV energies comparable to
dedicated gamma-ray burst satellites at keV-MeV energies. Observation of
gamma-ray burst emission at TeV energies could place important constraints on
gamma-ray burst progenitor and emission models. This study details the
development of a weighted analysis technique; the implementation of this
technique to perform a real time search for TeV transients of 40 seconds to 3
hours duration in the Milagro data; and the results from more than one year of
observation. Between May 2nd, 2001, and May 22nd, 2002, no TeV transients of 40
seconds to 3 hours duration were observed. Upper limits on both observed and
emitted high energy gamma-ray burst emission are presented.
