A method and apparatus to utilize a set of measurements (either partial or compete) to improve the accuracy of an initial position estimate for a wireless terminal. The initial position estimate for the terminal is first obtained (e.g., based on a cell-ID or an enhanced cell-ID solution). Measurements are obtained for the terminal. The initial position estimate is then updated with the measurements to obtain a revised position estimate for the terminal. The updating may be performed by (1) deriving a measurement vector based on the initial position estimate and the measurements, (2) forming an observation matrix for the measurements, (3) determining a matrix of weights, (4) deriving a correction vector based on the measurement vector, the observation matrix, and the weight matrix, and (5) updating the initial position estimate with the correction vector.