An arrangement is adapted to determine an estimate for mineral density related to a patient's first bone, wherein said first bone is associated with a femoral head, neck and/or a lumbar spine. The estimate determined by determining a first parameter, which is related to a property change in a measurement signal, most preferably an ultrasonic signal, launched towards some second bone of said patient other than the first bone after the measurement signal has been in interaction with said second bone. This is followed by determining an estimate for mineral density related to said patient's first bone by using said first parameter.