Scan Statistics and Applications

Part 1 Introduction and preliminaries: introduction to scan statistics, J. Glaz, N. Balakrishnan. Part 2 Discrete scan statistics: approximation for the distribution and the moments of discrete scan statistics, Jie Chen, Joseph Glaz; Rachet scan and disjoint statistics, J. Krauth; scanning multiple sequences, Joseph I. Naus. Part 3 Continuous scan statistics: approximations of the distributions of scan statistics of Poisson processes, Sven Erick Alm; an approach to computations involving spacings with applications to the scan statistic, Fred W. Huffer, Chien-Tai Lin; using moments to approximate the distribution of the scan statistic, Fred W. Huffer, Chien-Tai Lin; applying ballot problem results to compute probabilities required for a generalization of the scan statistic, Sylvan Wallenstein; scan statistic and multiple scan statistic, Chien-Tai Lin; on Poisson approximation for continuous multiple scan statistics in two dimensions, Marianne Mansson. Part 4 Applications: a start-up demonstration test using a simple scan-based statistic, Markos V. Koutras, N. Balakrishnan; applications of the scan statistic in DNA sequence analysis, Ming-Ying Leung, Traci E. Yamashita; on the probability of pattern matching in non-alighted DNA sequences - a finite Markov chain imbedding approach, James C. Fu et al; spatial scan statistics - model., calculations and applications, Martin Kulldorff.