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Nowadays, fast radio bursts (FRBs) have been a promising probe for astronomyand cosmology. However, it is not easy to identify the redshifts of FRBs todate. Thus, no sufficient actual FRBs with identified redshifts can be used tostudy cosmology currently. In the past years, one has to use the simulated FRBswith "known" redshifts instead. To simulate an FRB, one should randomly assigna redshift to it from a given redshift distribution. But the actual redshiftdistribution of FRBs is still unknown so far. Therefore, many redshiftdistributions have been assumed in the literature. In the present work, westudy the effect of various redshift distributions on cosmological constraints,while they are treated equally. We find that different redshift distributionslead to different cosmological constraining abilities from the simulated FRBs.This result emphasizes the importance to find the actual redshift distributionof FRBs, and reminds us of the possible bias in the FRB simulations due to theredshift distributions.

Effect of Redshift Distributions of Fast Radio Bursts on Cosmological Constraints