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The Distribution of the Size of the Maximum Cluster of Points on a Line

 

作者: JosephI. Naus,  

 

期刊: Journal of the American Statistical Association  （Taylor Available online 1965）
卷期: Volume 60, issue 310  

页码: 532-538

 

ISSN:0162-1459

 

年代: 1965

 

DOI:10.1080/01621459.1965.10480810

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

Npoints are independently drawn from the uniform distribution on (0, 1). Denote byE(n|N; p), the event: There exists a subinterval of (0, 1) of lengthpthat contains at leastnout of theNpoints. We find the probability,P(n|N; p), ofE(n|N; p) forn>N/2 in terms of simple tabulated quantities.

 

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