Examining the entries in a firm's accident register to look for trends in the incidents reported is an example of:

Analyzing the entries in a firm's accident register to identify trends in the reported incidents is indeed an example of risk analysis. This process involves examining data to understand the frequency and nature of accidents, which helps organizations assess their risk exposure. By studying trends, an organization can recognize patterns that may indicate underlying issues or areas that need improvement.

Risk analysis is crucial because it enables firms to evaluate the effectiveness of current risk management strategies and make informed decisions about how to mitigate potential hazards. It goes beyond simple identification of risks by incorporating an examination of the data, which leads to a deeper understanding and allows for proactive measures to be implemented to reduce the likelihood or impact of future incidents.

While the other options relate to various aspects of risk management, they do not specifically capture the essence of analyzing data trends for future risk mitigation as effectively as risk analysis does.