This disclosure describes methods and systems for estimating positions of a mobile terminals. The position of a mobile terminal may be estimated based on measured timing information of reference signals transmitted by a plurality of base stations and received by the mobile terminal as compensated by non-line-of-sight (NLOS) delay times in the reference signal propagation times. The NLOS delay times may be estimated using one or more positioning anchors. Alternatively, the NLOS delay times may be estimated by using multiple spatially separate antennas of the mobile terminal, by jointly with other mobile terminals, or by using other approximation methods. The approaches provided by this disclosure facilitate more accurate position estimates for high precision mobile positioning applications.