A statistical audibility prediction (SAP) method for predicting the audibility of a signal over time at a listening location, the signal from a signal source in the presence of a concurrent masking sound or masker from a masker source. The method includes receiving, via a processor over a plurality of auditory channels, a specific loudness of the signal and masker at the listening location. The method includes calculating for each auditory channel a standard deviation of a distribution of the specific loudness of the signal and masker, and calculating, via the processor, corresponding channel-specific detectability indices (d′t,i) for each auditory channel as a function of their standard deviations. The corresponding channel-specific detectability indices are then summed to produce a total detectability index (d′t), which may be output as an electronic signal that indicates the predicted audibility vs. time, e.g., to a downstream process and/or system or offline.