In this paper, we propose a technique for detecting possible events in outdoor areas monitored by a video surveillance system. In particular, here we focus on the time spent by an object to carry out simple events. To have a statistical representation of the times commonly required to perform certain activities, mixtures of Gaussians are maintained for each event type. Such statistics are then exploited both for the analysis of the simple activities and for discovering anomalous situations (i.e. complex events). In these cases, the system requires the attention of the human operator. A novel way of presenting results to the operator is also discussed. Experiments have been performed on a multi-camera system for parking lot security. Key words: Event analysis, Event understanding, Video Surveillance, security.