Abstract
The Weibull distribution, commonly used in hydrology, was derived using the principle of maximum entropy. The derivation required two constraints to be determined from data and yielded, in turn, a unique procedure for estimation of the distribution parameters. This method of parameter estimation was either superior or at least comparable to the methods of moments (MOM) and maximum likelihood estimation (MLE) for the precipitation data used. This distribution was less than accurate in representing probability distributions of rainfall depths and durations.
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Singh, V.P. On application of the Weibull distribution in hydrology. Water Resour Manage 1, 33–43 (1987). https://doi.org/10.1007/BF00421796
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DOI: https://doi.org/10.1007/BF00421796