We present here a technique for the calculation of configurationally averaged quantities in the reciprocal k-space representation, such as the spectral function and complex band structures. We apply the technique to AgPd alloys in conjunction with the tight-binding linearized muffin-tin orbital basis. We also indicate why the same technique is ideal for application to the more accurate screened KKR and allows us to go beyond the single-site coherent potential approximation and include multi-site effects such as short-ranged ordering and local lattice distortions due to size mismatch of the constituent atoms.