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6 - Three-Parameter Generalized Gamma Distribution

Published online by Cambridge University Press:  13 April 2022

Vijay P. Singh  and
Lan Zhang
Vijay P. Singh
Affiliation:
Texas A & M University
Lan Zhang
Affiliation:
University of Akron, Ohio
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Summary

The three-parameter generalized gamma (TPGG) distribution is a generalization of the two-parameter gamma distribution and includes as special cases the exponential distribution, the two-parameter gamma distribution, the Weibull distribution, and the lognormal distribution that are employed for frequency analysis in water engineering. In this chapter, the TPGG distribution is derived using the entropy theory and then its parameters are estimated with the principle of maximum entropy and the methods of maximum likelihood estimation and moments.

Keywords

Three-parameter generalized gamma (TPGG)exponentialtwo-parameter gammaWeibulllognormal
Type
Chapter
Information
Generalized Frequency Distributions for Environmental and Water Engineering , pp. 162 - 186
Publisher: Cambridge University Press
Print publication year: 2022

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References

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