  According to the number of detected bursts, fast radio bursts (FRBs) can be
classified into two categories, i.e., one-off FRBs and repeating ones. We make
a statistical comparison of these two categories based on the first FRB catalog
of the Canadian Hydrogen Intensity Mapping Experiment Fast Radio Burst Project.
Using the Anderson-Darling, Kolmogrov-Smirnov, and Energy statistic tests, we
find significant statistical differences ($p$-value $<$ 0.001) of the burst
properties between the one-off FRBs and the repeating ones. More specifically,
after controlling for distance, we find that the peak luminosities of one-off
FRBs are, on average, higher than the repeating ones; the pulse temporal widths
of repeating FRBs are, on average, longer than the one-off ones. The
differences indicate that these two categories could have distinct physical
origins. Moreover, we discuss the sub-populations of FRBs and provide
statistical evidence to support the existence of sub-populations in one-off
FRBs and in repeating ones.
