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Approximations for Distributions of Scan Statistics

 

作者: JosephI. Naus,  

 

期刊: Journal of the American Statistical Association  （Taylor Available online 1982）
卷期: Volume 77, issue 377  

页码: 177-183

 

ISSN:0162-1459

 

年代: 1982

 

DOI:10.1080/01621459.1982.10477783

 

出版商: Taylor & Francis Group

 

关键词: Scan statistics;Window statistics;Maximum cluster;Longest run;Generalized birthday probability;Multiple coverage

 

数据来源: Taylor

 

摘要:

Certain statistical applications deal with the extremal distributions of the number of points in a moving interval or window of fixed length. This article gives an approximation that is highly accurate for several of these distributions. Applications include the maximum cluster of points on a line or circle, multiple coverage by subintervals or subarcs of fixed size, the length of the longest success run in Bernoulli trials, and the generalized birthday problem.

 

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