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Estimating the Parameters of the Generalized Gamma Distribution by Mixed Moments

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Hydrologic Frequency Modeling

Abstract

Having three parameters but many possible forms, the generalized gamma (GG) distribution can be a good candidate for flood frequency analysis. In this study, four methods of parameter estimation were introduced, and sampling variances and covariances of the parameter estimators ewrw analytically derived along with the variance of the T-year flood event. For 45 sets of annual flood data taken from different sources, the GG distribution was found to provide good fits when the above methods were employed. Moreover, it was also found that although the sampling variances of the estimators were high, the percent standard error of the T-year flood was relatively small. Thus use of the GG distribution and these methods would provide good design flood magnitudes at appropriately determined return periods.

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© 1987 D. Reidel Publishing Company

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Phien, H.N., Van Nguyen, T.V., Kuo, JH. (1987). Estimating the Parameters of the Generalized Gamma Distribution by Mixed Moments. In: Singh, V.P. (eds) Hydrologic Frequency Modeling. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3953-0_29

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  • DOI: https://doi.org/10.1007/978-94-009-3953-0_29

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8253-2

  • Online ISBN: 978-94-009-3953-0

  • eBook Packages: Springer Book Archive

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