Approximations for discrete scan statistics on the circle
Discrete scan statistics are used for testing the null hypothesis that the observations are identically distributed against a clustering alternative that specifies 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.
Volume (Year): 44 (1999)
Issue (Month): 2 (August)
|Contact details of provider:|| Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description|
|Order Information:|| Postal: http://www.elsevier.com/wps/find/supportfaq.cws_home/regional|
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Karwe, Vatsala V. & Naus, Joseph I., 1997. "New recursive methods for scan statistic probabilities," Computational Statistics & Data Analysis, Elsevier, vol. 23(3), pages 389-402, January.
When requesting a correction, please mention this item's handle: RePEc:eee:stapro:v:44:y:1999:i:2:p:167-176. See general information about how to correct material in RePEc.
If references are entirely missing, you can add them using this form.