Research Article
Dec 1970
Probability Distribution of Annual Droughts
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VIEW THE REPLYPublication: Journal of the Irrigation and Drainage Division
Volume 96, Issue 4
Abstract
The object herein is to establish a suitable probability distribution for annual droughts of 14-day periods. The approach used was to fit certain theoretical distributions to the observed data and to select, by suitable criteria, the distribution which best described the data. The relative adequacy of five distributions was studied. They were the gamma, the log-normal, the square root normal, the normal and the Grumbel's extreme value (Weibull) distributions. Two techniques were used to determine the goodness-of-fit: (1) the chi-squared test; and (2) a comparison of the skewness-kurtosis relation. Tests were performed using the data of 37 stations in the Missouri River Basin whose annual droughts in succeeding years were found to be randomly distributed with respect to time. The results of either test reveals that the gamma distribution is the first choice, the Weibull being next, and the log-normal comes in third.
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Published In
Journal of the Irrigation and Drainage Division
Volume 96 • Issue 4 • December 1970
Pages: 461 - 474
Copyright
© 1970 American Society of Civil Engineers.
History
Published in print: Dec 1970
Published online: Feb 11, 2021
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Authors
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Eratakulan S. Joseph, AM.ASCE
Dept. of Mathematics, Keystone Junior College, La Plume, Pa
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