Methods and apparatuses for reducing errors in the measurement of the coordinates and time offset in satellite positioning system receivers

Disclosed are methods and apparatuses for generating the estimates of receiver's coordinates and/or time offset for a moment of time tn without large errors caused by short-term shading of a part of the observable global positioning satellites and also without large dynamic errors caused by the receiver movement. The receiver may be stationary or mobile (i.e., rovering). A set of snapshot-solution values for the position coordinates and time offset of the receiver at the time moment tn, and a set of predicted values for the position coordinates and time offset of the receiver at the time moment tn are generated. The accuracy of each of these sets are determined, and a set of refined estimates for the position and time offset of the receiver is generated based the snapshot solution values, the predicted position values, and the accuracies.