ABSTRACTBayesian statistics are applied to the problem of signal‐to‐noise ratio enhancement from a common‐midpoint gather. By maximizing the a posteriori probability distribution of the gather with respect to the minimum‐offset trace and suppressing multiples via a semblance criterion, a statistically biased stack is formed with signal‐to‐noise ratio comparable to that of the usual stack while preserving the resolution and registration of the original noisy trace.Application of the algorithm to real data reveals geologically significant features which are indistinct in the standard stac