An asphalt paver for applying a mat of asphalt material as the paver is moved along a path includes a frame, a compacting screed having rotatable vibrator shaft, and an edge compactor attached to the outer end of the compacting screed. The edge compactor includes a pivoting nose piece or tamping bar having an outer end generally overlying an edge portion of the asphalt mat, a rotatable shaft connected to the vibrator shaft, and a rod eccentrically mounted to the rotatable shaft and secured to th...