Asymptotic distribution of the maximum deficit with correlated, partially regulated outflows
Water Resources Research
By: Brent M. Troutman
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Abstract
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.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Asymptotic distribution of the maximum deficit with correlated, partially regulated outflows |
| Series title | Water Resources Research |
| DOI | 10.1029/WR019i001p00104 |
| Volume | 19 |
| Issue | 1 |
| Publication Date | July 09, 2010 |
| Year Published | 1983 |
| Language | English |
| Publisher | American Geophysical Union |
| Description | 5 p. |
| First page | 104 |
| Last page | 108 |