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Peaks from Random Data

Published online by Cambridge University Press:  27 July 2009

Sheldon M. Ross
Sheldon M. Ross
Affiliation:
Department of Industrial Engineering and Operations ResearchUniversity of California Berkeley, California
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Extract

In an influential and controversial paper, Raup and Sepkoski [2] defined an event of mass extinction to have occurred in any time period (of roughly 6.4 million years) for which the data value for that time period (equal to the proportion of the families existing at the beginning of that period that went extinct during the period) exceeded that of its immediate neighbors. In this article we analyze the occurrence of such events when the data are randomly generated from a continuous distribution.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 1 , Issue 1 , January 1987 , pp. 65 - 68
Copyright
Copyright © Cambridge University Press 1987

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References

Billingsley, P. (1982). Measure and probability, John Wiley, New York.Google Scholar
Raup, D. M. and Sepkoski, J. J. (1984). Periodicity of extinctions in the geologic past. Proceedings of the National Academy of Sciences 81: 801–805.CrossRefGoogle ScholarPubMed
Ross, S. M. (1987). Are mass extinctions really periodic? Probability in the Engineering and Informational Sciences 1: 61–64.CrossRefGoogle Scholar