Abstract: The statistical approach to the high resolution acoustic signal parameter estimation is considered. The models of the Green's function for a deterministic and a random oceanic waveguide are presented. A brief discussion of popular superresolution methods with application to direction-of-arrival (DOA) and travel time estimation is done. Application of high resolution methods (HRM) to underwater data processing requires that certain modeling assumptions be made. Using maximum likelihood theory, the optimum processing algorithm for amplitudes, angles of arrival and travel times estimation is developed. The proposed techniques take into account the deterministic and the stochastic structure of the acoustic field.