A generalized gamma distribution with application to drought data |
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Authors: | Saralees Nadarajah Arjun K. Gupta |
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Affiliation: | 1. Department of Statistics, University of Nebraska, Lincoln, NE 68583, United States;2. Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, United States |
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Abstract: | Gamma distributions are some of the most popular models for hydrological processes. In this paper, a very flexible family which contains the gamma distribution as a particular case is introduced. Evidence of flexibility is shown by examining the shape of its probability density function (pdf). A treatment of the mathematical properties is provided by deriving expressions for the n th moment. Estimation and simulation issues are also considered. Finally, a detailed application to drought data from the State of Nebraska is illustrated. |
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Keywords: | Estimation Generalized gamma distribution Moments Simulation |
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