Titlebook: Scan Statistics; Joseph Glaz,Joseph Naus,Sylvan Wallenstein Book 2001 Springer Science+Business Media New York 2001 Poisson process.Random

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0172-7397 y statistical applications the scientists have to analyze the occurrence of observed clusters of events in time or space. The scientists are especially interested to determine whether an observed cluster of events has occurred by chance if it is assumed that the events are distributed independently

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Introductions of cancer cases or birth defects. Molecular biologists look for palindrome clusters in DNA for clues to the origin of replication of viruses. Telecommunications engineers design capacity to accommodate clusters of calls being simultaneously dialed to a switchboard. Quality control experts investig

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Retrospective Scanning of Events Over Timeod of time. The researchers ask whether the cluster is unusual in the sense that it is unlikely to have arisen by chance if events were distributed independently and completely at random over time. The relative frequency of large clusters that occur purely by chance is one tool to answer such questi

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