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Fast Radio Bursts (FRBs) are the short, strong radio pulses lasting severalmilliseconds. They are subsequently identified, for the most part, as emanatingfrom unknown objects at cosmological distances. At present, over one hundredFRBs have been verified, classified into two groups: repeating bursts (20samples) and apparently non-repeating bursts (91 samples). Their origins,however, are still hotly debated. Here,we investigate the statisticalclassifications for the two groups of samples to see if the non-repeating andrepeating FRBs have different origins by employing Anderson-Darling (A-D) testand Mann-Whitney-Wilcoxon (M-W-W) test. Firstly, by taking the pulse width as astatistical variant, we found that the repeating samples do not follow theGaussian statistics (may belong to a chi-square distribution), although theoverall data and non-repeating group do follow the Gaussian. Meanwhile, toinvestigate the statistical differences between the two groups, we turn toM-W-W test and notice that the two distributions have different origins.Secondly, we consider the FRB radio luminosity as a statistical variant, andfind that both groups of samples can be regarded as the Gaussian distributionsunder the A-D test, although they have different origins according to M-W-Wtests. Therefore, statistically, we can conclude that our classifications ofboth repeaters and non-repeaters are plausible, that the two FRB classes havedifferent origins, or each has experienced distinctive phases or been subjectto its own physical processes.

Fast radio bursts: do repeaters and non-repeaters originate in statistically similar ensembles