Approximations for discrete scan statistics on the circle
Jie Chen and
Joseph Glaz
Statistics & Probability Letters, 1999, vol. 44, issue 2, 167-176
Abstract:
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.
Keywords: Compound-Poisson; approximations; Moving; sums; Poisson; approximations; Product-type; approximations; Testing; for; identical; observations (search for similar items in EconPapers)
Date: 1999
References: View references in EconPapers View complete reference list from CitEc
Citations:
Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(99)00005-X
Full text for ScienceDirect subscribers only
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:44:y:1999:i:2:p:167-176
Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01
Access Statistics for this article
Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul
More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().