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Nadarajah, Saralees; Gupta, Arjun K.

A generalized gamma distribution with application to drought data. (English) Zbl 1108.60011

Math. Comput. Simul. 74, No. 1, 1-7 (2007).
Summary: Gamma distributions are some of the most popular models for hydrological processes. 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. 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.

Cited in 20 Documents

MSC:

60E05 Probability distributions: general theory
86A05 Hydrology, hydrography, oceanography
62F10 Point estimation

Keywords:

estimation; moments; simulation

Software:

R
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Full Text: DOI

References:

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