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Biometrika 1954 41(1-2):91-99; doi:10.1093/biomet/41.1-2.91
© 1954 by Biometrika Trust
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ON THE SUPERPOSITION OF RENEWAL PROCESSES

D. R. COX and WALTER L. SMITH

Statistical Laboratory, University of Cambridge

Suppose that there are a number of independent sources at each of which events occur from time to time. The intervals between successive events at any one source are assumed to be independant random variables all with the same distribution, so that each source constitutes a renewal process of a familiar type. The outputs of the sources are combined into one pooled output. Statistical properties of the pooled output are investigated and the results applied to a problem in neurophysiology.


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