Letter | Published:

Expected Overflow of a Dam

Nature volume 212, page 326 (15 October 1966) | Download Citation

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Abstract

CONSIDER a dam with total capacity C and initial content c. If the dam becomes full the surplus water overflows and is lost. Let W (t) be the total overflow up to time t, and T be the time at which the dam first becomes empty. For certain types of input and output Bartlett1 derives the distribution of T, and with Bather in the preceding communication, the distribution of W (T), the total overflow before the dam becomes empty.

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References

  1. 1.

    , Nature, 202, 731 (1964).

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Affiliations

  1. Statistical Laboratory, Department of Mathematics, University of Manchester.

    • R. MORTON

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DOI

https://doi.org/10.1038/212326b0

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