Titlebook: Handbook of Scan Statistics; Joseph Glaz,Markos V. Koutras Living reference work 20200th edition

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Martingale Methods,ibutions of waiting times for the occurrence of simple or compound patterns in an independent or a Markov sequence. We also survey how such methods can be used to provide moments and distribution approximations for a variety of scan statistics, including variable length scan statistics. Each of the

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Scan Statistics for Integer-Valued Random Variables: Conditional Case,ically distributed nonnegative integer-valued random variables, modeled by a one-parameter natural exponential family of distributions, when the total sum of the random variables is known. The distribution of conditional scan statistics is based on the joint distribution of moving sums of components

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choleretic

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Discrete Scan Statistics for Higher-Order Markovian Sequences,, as results for higher-order Markovian sequences are scarce. Results from three papers on exact computation of probabilities in Markovian sequences are given, two of which are for binary Markov chains, the third allowing multistate higher-order Markovian trials. Whereas exact computation of the com

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chemoprevention

Spatial Cluster Estimation and Visualization using Item Response Theory,n may not be appropriate to detect the true cluster. To work around this problem we usually use complex tools that allow the detection of clusters with arbitrary format, but at the expense of an increase in computational effort. In this chapter we describe a methodology that assists the detection of