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 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.
Citation Information
Publication Year | 1983 |
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Title | Asymptotic distribution of the maximum deficit with correlated, partially regulated outflows |
DOI | 10.1029/WR019i001p00104 |
Authors | Brent M. Troutman |
Publication Type | Article |
Publication Subtype | Journal Article |
Series Title | Water Resources Research |
Index ID | 70011259 |
Record Source | USGS Publications Warehouse |