1. A system for administering event pools for relevant event analysis in a distributed processing system, the system comprising a computer processor, a computer memory operatively coupled to the computer processor, the computer memory having disposed within it computer program instructions capable, when executed by the computer processor, of causing the system to carry out the steps of: assigning, by an incident analyzer, a plurality of events to an events pool; determining based on an event type and an identification of a reporting component that reported an event of the plurality of events, by the incident analyzer, an event suppression duration indicating a particular time period for the event to occur; determining, by the incident analyzer in dependence upon event analysis rules, to suppress events having particular attributes including the identification of the reporting component that reported the event and an occurred time, which indicates that the event occurred during the event suppression duration; suppressing, by the incident analyzer, each event assigned to the events pool having the particular attributes; and continuing, by the incident analyzer, event processing for events having the particular attributes.