Document Detail

Computing the distribution of the maximum in balls-and-boxes problems with application to clusters of disease cases.
MedLine Citation:
PMID:  17592129     Owner:  NLM     Status:  MEDLINE    
We present a rapid method for the exact calculation of the cumulative distribution function of the maximum of multinomially distributed random variables. The method runs in time O(mn), where m is the desired maximum and n is the number of variables. We apply the method to the analysis of two situations in which an apparent clustering of cases of a disease in some locality has raised epidemiological concerns, and these concerns have been discussed in the recent literature. We conclude that one of these clusters may be explained on purely random grounds, namely the leukemia cluster in Niles, IL, in 1956-1960; whereas the other, a leukemia cluster in Fallon, NV, in 1999-2001, may not.
Warren J Ewens; Herbert S Wilf
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Publication Detail:
Type:  Journal Article; Review     Date:  2007-06-25
Journal Detail:
Title:  Proceedings of the National Academy of Sciences of the United States of America     Volume:  104     ISSN:  0027-8424     ISO Abbreviation:  Proc. Natl. Acad. Sci. U.S.A.     Publication Date:  2007 Jul 
Date Detail:
Created Date:  2007-07-04     Completed Date:  2007-09-26     Revised Date:  2013-06-06    
Medline Journal Info:
Nlm Unique ID:  7505876     Medline TA:  Proc Natl Acad Sci U S A     Country:  United States    
Other Details:
Languages:  eng     Pagination:  11189-91     Citation Subset:  IM    
Department of Biology, University of Pennsylvania, Philadelphia, PA 19104-6018, USA.
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MeSH Terms
Cluster Analysis*
Computational Biology*
Epidemiologic Methods*
Leukemia / epidemiology*
Precursor Cell Lymphoblastic Leukemia-Lymphoma / epidemiology

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine

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