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Approximations for discrete scan statistics on the circle

✍ Scribed by Jie Chen; Joseph Glaz

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
94 KB
Volume
44
Category
Article
ISSN
0167-7152

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✦ Synopsis

Discrete scan statistics are used for testing the null hypothesis that the observations are identically distributed against a clustering alternative that speciΓΏes an increased incidence of observations in a connected subregion of the circle. To implement the testing procedures based on the scan statistics, accurate approximations are needed for their tail probabilities. In this article we derive accurate product-type and Poisson-type approximations for the probabilities of discrete scan statistics for the binomial and the Poisson models. Numerical results are presented to evaluate the performance of the approximations derived in this article.

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