A method for improved real time determination of the current position of a mobile communication device, comprising the method steps of: a1) providing supplemental position information by an SBAS navigation augmentation system and emitting signals by a GNSS system; a2) transmitting supplemental position information associated with a first point in time (ta n) to a mobile communication device; characterised by b) receiving the supplemental position information associated with a first point in time (ta n) in a mobile communication device whose current position is to be determined in real time for a second point in time (tb n), the first point in time (ta n) being before the second point in time (tb n); c) receiving signals emitted by the GNSS system in the mobile communication device and determining, in the mobile communication device and from the received signals, position information associated with the first point in time (ta n); d) generating movement-related information, by a movement detection device of the mobile communication device, the movement-related information describing the movement of the mobile communication device at least section wise between the first point in time (ta n) and the second point in time (tb n); e) re-determining, in the mobile communication device, position information for the first point in time (ta n) on the basis of the position information determined in step c) and associated with the first point in time (ta n), and determining, in the mobile communication device, improved current position information of the mobile communication device for the second point in time (tb n) on the basis of the position information re-determined for the first point in time (ta n) and the movement-related information generated in step d); wherein before executing step e), it is checked whether at time (tb n) supplemental position information associated with the first point in time (ta n) is available in the mobile communication device and whether the mobile communication device has moved between the first point in time (ta n) and the second point in time (tb n), by employing a hypothesis test to calculate whether the sum of translational movements of the mobile communication device is different from the zero vector with statistical significance. a1) providing supplemental position information by an SBAS navigation augmentation system and emitting signals by a GNSS system; a2) transmitting supplemental position information associated with a first point in time (ta n) to a mobile communication device; b) receiving the supplemental position information associated with a first point in time (ta n) in a mobile communication device whose current position is to be determined in real time for a second point in time (tb n), the first point in time (ta n) being before the second point in time (tb n); c) receiving signals emitted by the GNSS system in the mobile communication device and determining, in the mobile communication device and from the received signals, position information associated with the first point in time (ta n); d) generating movement-related information, by a movement detection device of the mobile communication device, the movement-related information describing the movement of the mobile communication device at least section wise between the first point in time (ta n) and the second point in time (tb n); e) re-determining, in the mobile communication device, position information for the first point in time (ta n) on the basis of the position information determined in step c) and associated with the first point in time (ta n), and determining, in the mobile communication device, improved current position information of the mobile communication device for the second point in time (tb n) on the basis of the position information re-determined for the first point in time (ta n) and the movement-related information generated in step d); wherein before executing step e), it is checked whether at time (tb n) supplemental position information associated with the first point in time (ta n) is available in the mobile communication device and whether the mobile communication device has moved between the first point in time (ta n) and the second point in time (tb n), by employing a hypothesis test to calculate whether the sum of translational movements of the mobile communication device is different from the zero vector with statistical significance.