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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Approximations for the Conditional Casef view and could be considered optimal relative to the effort involved. There are two basic approaches used. The methods of moments and product limit approximations are based on spacings, and the other methods are based on cell occupancy numbers. The approximations based on spacings are described in

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Scanning Points in a Poisson Processnterval of [0, .) of length w. Let .. ≤ .. ≤ ...,denote the ordered values of the .’s. The statistic ..,the size of the smallest subinterval of [0, .) that contains . points, equals .. For the case where the . points are uniformly distributed on [0, .),the common probabilities .(.. ≥.) .(.. ≤ .) are

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Pedagogy

Two-Dimensional Scan Statistics of the observed events in the rectangular region are unknown. What is usually available are the counts in small rectangular subregions. For 1 ≤ . ≤ .. and 1 ≤ . ≤ .., let X. be the number of events that have been observed in the rectangular subregion [(.−1).., ..] × [(j−1).., ..]. We are interested

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Success Scans in a Sequence of Trialsing, a subject may correctly or incorrectly perform a series of cognitive tasks. A sports team wins and loses games over a season. In a stream of items sampled from an assembly line some are defective, some acceptable.

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Approximations for the Conditional Caseapproximations are based on spacings, and the other methods are based on cell occupancy numbers. The approximations based on spacings are described in Sections 10.1–10.4, and those on cell occupancy numbers in Sections 10.5–10.7. In order of computational effort they might be ordered as:

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Book 2001ently and uniformly over time or space. Applications of scan statistics have been recorded in many areas of science and technology including: geology, geography, medicine, minefield detection, molecular biology, photography, quality control and reliability theory and radio-optics.