Our group has chose to implement the Unified Process as the Software Process. Reason being that the Unified Process has taken into considerations about the section on risk management, ensuring that the whole project process has been taken care of from the start.

Extract of risk management below.

The Unified Process requires the project team to focus on addressing the most critical risks early in the project life cycle. The deliverables of each iteration, especially in the Elaboration phase, must be selected in order to ensure that the greatest risks are addressed first.