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Multiple clusters on the line
Authors:Joseph Glaz  Joseph Naus
Institution:1. Department of Statistics , University of Connecticut , Storrs , CT , 06268;2. Department of Statistics , Rutgers University , New Brunswick , NJ , 08903
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.
Keywords:coincidences  multiple clusters  nearest-neighbors
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