Asymptotic distribution of the maximum deficit with correlated, partially regulated outflows
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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.
Suggested Citation
Troutman, B.M., 1983, Asymptotic distribution of the maximum deficit with correlated, partially regulated outflows: Water Resources Research, v. 19, no. 1, p. 104-108, https://doi.org/10.1029/WR019i001p00104.
ISSN: 1944-7973 (online)
| 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 |