Asymptotic distribution of the maximum deficit with correlated, partially regulated outflows

The asymptotic distribution of the maximum accumulated deficit with partially regulated, Markov‐dependent net outflows having a Bernoulli distribution is derived, and the distribution for independent, continuous outflows is presented. It is demonstrated that under partial regulation the maximum defi...

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Bibliographic Details
Published in:Water resources research 1983-02, Vol.19 (1), p.104-108
Main Author: Troutman, Brent M.
Format: Article
Language:English
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Summary:The asymptotic distribution of the maximum accumulated deficit with partially regulated, Markov‐dependent net outflows having a Bernoulli distribution is derived, and the distribution for independent, continuous outflows is presented. It is demonstrated that under partial regulation the maximum deficit behaves as log n, where n is the length of the series; this is to be contrasted with the n½ behavior exhibited by fully regulated outflows. Also, as would be expected, the presence of correlation tends to increase the magnitude and variability of the maximum deficit.
ISSN:0043-1397
1944-7973
DOI:10.1029/WR019i001p00104