  Fast radio bursts (FRBs) are extremely strong radio flares lasting several
milliseconds, most of which come from unidentified objects at a cosmological
distance. They can be apparently repeating or not. In this paper, we analyzed
18 repeaters and 12 non-repeating FRBs observed in the frequency bands of
400-800 MHz from CHIME. We investigated the distributions of FRB
isotropic-equivalent radio luminosity, considering the K correction.
Statistically, the luminosity distribution can be better fitted by Gaussian
form than by power-law. Based on the above results, together with the observed
FRB event rate, pulse duration, and radio luminosity, FRB origin models are
evaluated and constrained such that the gamma-ray bursts (GRBs) may be excluded
for the non-repeaters while magnetars or neutron stars (NSs) emitting the
supergiant pulses are preferred for the repeaters. We also found the necessity
of a small FRB emission beaming solid angle (about 0.1 sr) from magnetars that
should be considered, and/or the FRB association with soft gamma-ray repeaters
(SGRs) may lie at a low probability of about 10%. Finally, we discussed the
uncertainty of FRB luminosity caused by the estimation of the distance that is
inferred by the simple relation between the redshift and dispersion measure
(DM).
