  Recent results from IceCube regarding TXS 0506+056 suggest that it may be
useful to test the hypothesis of multiple neutrino flares, where each flare is
not necessarily accompanied by a corresponding gamma-ray flare. An untriggered,
time-dependent, source-stacking search would be optimal for testing this
hypothesis, however such an analysis has yet to be applied to the full duration
of IceCube data. Here, we discuss one possible way of constructing such an
analysis, with a global test statistic obtained by summing the individual test
statistics associated with each signal-like flare in the sample. This has the
additional advantage of assessing the time structure of each source when
running the analysis over a source catalog. We show that, for a signal
consisting of many small flares, this style of analysis represents a
significant increase in discovery potential over both the existing single-flare
fit and the time-integrated stacking methods. Potential source catalogs are
examined in combination with this method, including the possibility of a
"self-triggered" catalog consisting of the locations of the highest energy
northern sky events in the IceCube sample.
