The observations of the BATSE instrument on the Compton Gamma-Ray Obse
rvatory show that the spatial distribution of gamma-ray burst sources
is isotropic but radially non-uniform. As is well known, the spectral
features, the time histories and the X-ray tails present in some gamma
-ray bursts suggest that they may arise from galactic neutron stars. B
ut, low velocity neutron stars born in the Galactic disk would concent
rate toward the galactic plane and center, and could not fit the BATSE
results. However, the high velocity neutron stars with velocity simil
ar to 1000 km s(-1) may escape from the Galactic gravitational field a
nd form a nearly isotropic distribution. Here we calculate the three s
tatistical values of[V/V-max], [sin(2)b] and [cos theta] as functions
of the intensities C-max/C-min and find that they could be fitted by t
he distribution of high velocity neutron stars under the assumption th
at the high velocity neutron stars should turn on as gamma-ray burst s
ources only after some time (perhaps after they have ceased to be radi
o pulsars). Our calculation shows that the statistical value of [cos t
heta] is more sensitive than [sin(2)b] to the angular distribution of
high velocity neutron stars, i.e. the deviation of [cos theta] from 0
is more readily detected than the deviation of sin(2)b from 1/3, so we
expect that with the increasing sensitivity of instrument and the mor
e exact value of [cos theta], it is possible to determine whether this
high velocity neutron star model is correct. Some results are discuss
ed in the text.