Abstract Kijko et al. (2016) present various methods to estimate parameters that are relevant for probabilistic seismic‐hazard assessment. One of these parameters, although not the most influential, is the maximum possible earthquake magnitude m max . I show that the proposed estimation of m max is based on an erroneous equation related to a misuse of the estimator in Cooke (1979) and leads to unstable results. So far, reported finite estimations of m max arise from data selection, because the estimator in Kijko et al. (2016) diverges with finite probability. This finding is independent of the assumed distribution of earthquake magnitudes. For the specific choice of the doubly truncated Gutenberg–Richter distribution, I illustrate the problems by deriving explicit equations. Finally, I conclude that point estimators are generally not a suitable approach to constrain m max .