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Published online by Cambridge University Press: 13 April 2022
The five-parameter Feller–Pareto distribution may be considered as a generalization of the two-parameter beta distribution through transformation. In this chapter, the five-parameter Feller–Pareto distribution is derived using entropy theory and then its parameters are estimated with the principle of maximum entropy and the methods of maximum likelihood estimation and moments. Synthetic data from true population and real-world data including peak flow, maximum daily precipitation, and total flow deficit are applied to evaluate the performance of different estimation methods.
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