A generalized gamma distribution with application to drought data

Authors:
Saralees Nadarajah;Arjun K. Gupta
Affiliations:
Department of Statistics, University of Nebraska, Lincoln, NE 68583, United States;Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, United States
Venue:
Mathematics and Computers in Simulation
Year:
2007

Citing 2
Cited 0

A modular system of algorithms for unconstrained minimization

ACM Transactions on Mathematical Software (TOMS)
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)

Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)

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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.