The energy dependence of quantum complex-forming reaction probabilities is well known to involve sharp fluctuations, but little seems to be known about their amplitudes. We develop here, for triatomic reactions, an analytical approach of their statistical distribution. This approach shows that the fluctuation amplitudes mainly depend on the numbers of available quantum states in the reagent and product channels. Its predictions appear to be in good quantitative agreement with quantum scattering calculations for the prototypical reaction H + + H 2 .