Gamma-Ray Bursts (GRB) have been discovered about 30 years,
wever , the sources of GRB are still unknown . All of the
populardels have a unspoken assumption that GRB are time-
uncorrelated.e purpose of our study is to examine this
assumption by doingatistics on the 3B Catalog of BATSE. We
first constructed a modelshow that the occurrence probibility
of the time interval of twoccesive observed bursts should obey
a exponential distributionr the time-uncorrelated randomly-
burst and uniform-distributedurces. Most parts of the
Histogram of the BATSE data arensistent with the expected
values of exponential distritution,t there still have
some obvious discrepancies. If thesescrepancies still
exist after excluding the bias of detector andtallite, it may
imply that the most poluar models are wrong.e BATSE Solar
Flare Catalog was also used to explore theatistical
behaviors of solar flares. These gamma-ray data showat the
frequency distribution of the peak luminosity obeys awer
law distribution, largely consistant with the hard x-
rayservation. The frequency distribution of the time
seperationtween successive flares also obeys the power law
scaling, whichtends over 2 decades in the time
seperation. Two-pointto-correlation of the flares appears
rather flat, indicative of af power law relation. The auto-
correlation also contains a smallmponent of oscillations
periodic in log(t) with period about35. The flares seem to
appear in clusters, and their three-pointto-correlatoin shows
a bump centering around 50 days with a widthound 10 days. These
power law distributions strongly indicateat the magnetic
fields in solar atmosphere has reached a criticalate through
self-organized dynamics.