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Parameter estimation for 2-parameter generalized pareto distribution by POME

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Abstract

The principle of maximum entropy (POME) was employed to derive a new method of parameter estimation for the 2-parameter generalized Pareto (GP2) distribution. Monte Carlo simulated data were used to evaluate this method and compare it with the methods of moments (MOM), probability weighted moments (PWM), and maximum likelihood estimation (MLE). The parameter estimates yielded by POME were comparable or better within certain ranges of sample size and coefficient of variation.

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Singh, V.P., Guo, H. Parameter estimation for 2-parameter generalized pareto distribution by POME. Stochastic Hydrol Hydraul 11, 211–227 (1997). https://doi.org/10.1007/BF02427916

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