On Scan Statistics Through the Finite Markov Chain Imbedding Approach

W. Y. Wendy Lou () and James C. Fu
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W. Y. Wendy Lou: University of Toronto, Dalla Lana School of Public Health
James C. Fu: University of Manitoba, Department of Statistics

Chapter 17 in Handbook of Scan Statistics, 2024, pp 325-337 from Springer

Abstract: Abstract This chapter provides a short review of the finite Markov chain imbedding approach for studying the distributions of discrete scan statistics, multiple window scan statistics, and continuous scan statistics under a Poisson arrival process. Applications to hypothesis testing for various alternatives are also provided to illustrate the versatility of the approach.

Keywords: Exact distribution; Approximation; Simple and compound patterns; Markov-dependent trials; Transition probability matrix (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-8033-4_64

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DOI: 10.1007/978-1-4614-8033-4_64

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