Multiple clusters on the line |
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Authors: | Joseph Glaz Joseph Naus |
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Institution: | 1. Department of Statistics , University of Connecticut , Storrs , CT , 06268;2. Department of Statistics , Rutgers University , New Brunswick , NJ , 08903 |
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Abstract: | Given N events occurring over time, define an n:t cluster as n consecutive events all contained within an interval of length t. In this paper we derive the expectation, variance and approximate distribution of the number of n:t clusters. The results have applications in epidemiological studies of rare diseases. |
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Keywords: | coincidences multiple clusters nearest-neighbors |
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