Future detection of a supernova neutrino burst by large underground de
tectors would give important information for the explosion mechanism o
f collapse-driven supernovae. We studied the statistical analysis for
the future detection of a nearby supernova by using a numerical supern
ova model and realistic Monte Carlo simulations of detection by the Su
per-Kamiokande detector. Pile mainly discuss the detectability of the
signatures of the delayed explosion mechanism in the time evolution of
the (v) over bar(e) luminosity and spectrum. For a supernova at 10 kp
c away from the Earth, we find not only that the signature is clearly
discernible but also that the deviation of the energy spectrum from th
e Fermi-Dirac (FD) distribution can be observed. The deviation from th
e FD distribution would, if observed, provide a test for the standard
picture of neutrino emission from collapse-driven supernovae. For the
D = 50 kpc case, the signature of the delayed explosion is still obser
vable, but statistical fluctuation is too large to detect the deviatio
n from the FD distribution. We also propose a method for statistical r
econstruction of the time evolution of v, luminosity and spectrum from
data, by which we can get a smoother time evolution and smaller stati
stical errors than by a simple, time-binning analysis. This method is
useful especially when the available number of events is relatively sm
all, e.g., a supernova in the LMC or SMC. A neutronization burst of v(
e)'s produces about five scattering events when D = 10 kpc, and this s
ignal is difficult to distinguish from (v) over bar(e)p events.