The method calculates a scatter estimate for scatter correction of detection data from a subject in a positron emission tomographic scanner. The detection data represent the scattered events and unscattered events of annihilation photons emitted in the subject. The method uses the following steps: determine an estimate of the unscattered events; determine a simulation of the scattered events; determine a value of a scaling factor by fitting the sum of the estimate of the unscattered events and a product of the scaling factor and the simulation of the scattered events to the detection data; and determine the scatter estimate as the product of the scaling factor having said value and the simulation of the scattered events.