Capturing the abnormal event from surveillance videos enhances the safety and well-being of the citizens. The application of EdgeAI (Edge computing-based Artificial Intelligent ) meets the strict latency requirements for security. In this paper, we apply weakly supervised video anomaly detection called Robust Temporal Feature Magnitude Learning (RTFM) to an end-to-end crime-scene anomaly detection system from the surveillance cameras with the help of edge computing technology. The system is tested directly on multiple Jetson edge devices combined with TensorRT as the software developer kit from NVIDIA for system performance enhancement. The experience of an AI-based system deployment on various Jetson Edge devices with Docker technology is also provided. The anomaly detection model yields competitive results compared to other state-of-the-art (SOTA) algorithms on available datasets such as UCF-Crime and UIT VNAnomaly. The approach system reaches 47.56 frames per second (FPS) inference speed on a Jetson edge device with only 3.11 GB RAM usage total. We also discover the promising Jetson device that the AI system achieves 15% better performance than the previous version of Jetson devices while consuming 50% less energy power.