The difference between the statistical anomaly detection approach and the rule-based detect

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For the intrusion detection, I confuse about this two approach.
Can you please explain the different

thank

statistical anomaly detection vs rule-based detection

Rule based intrusion detection systems(also referred to as signature based). use an attack "signature" to identify a potential attack and subsequently alert on the suspect network traffic.

Statistical-based systems determines "normal" network activity and then all traffic that falls outside the scope of normal is flagged as anomalous (not normal). SBID systems attempt to learn network traffic patterns on a particular network. This process of traffic analysis continues as long as the SBID system is active, so, assuming network traffic patterns remain constant, the longer the system is on the network, the more accurate it becomes. By analyzing network traffic and processing the information with complex statistical algorithms, SBID systems look for anomalies in the established normal network traffic patterns. All packets are given an anomaly score (indicating the degree of irregularity for the specific event) and if the anomaly score is higher than a certain threshold, the IDS will generate an alert.

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