Abstract
IN a previous communication1, an asymptotic theory was outlined for the probabilistic behaviour of a finite dam or reservoir subject to random input and output. A further problem raised by Herman Rubin—that of the amount of water lost by overflow—may be solved by similar methods. In the case of normal diffusion which is treated here, the distribution of the overflow may be found by evaluating its moment generating function. There is an alternative and more general method, which is useful when only the expected overflow is required. The alternative, suggested by R. Morton, is discussed in the succeeding communication.
Similar content being viewed by others
Article PDF
References
Bartlett, M. S., Nature, 202, 731 (1964).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
BARTLETT, M., BATHER, J. Asymptotic Dam Theory. Nature 212, 326 (1966). https://doi.org/10.1038/212326a0
Issue Date:
DOI: https://doi.org/10.1038/212326a0
Comments
By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.