Every year, floods take lives and damage properties in many parts of the World. A mean of reducing the damages caused by floods is with an adequate estimation of probable flows based on the probabilities of these events. For this purpose, a trivariate extreme value distribution have been derived from the logistic model for multivariate extreme value distributions. Due the complexity of the likelihood functions, the maximum likelihood estimators of the parameters of the trivariate distribution were obtained numerically by using a multivariable constrained non-linear optimization procedure which allows the cases of samples with different lengths of record.
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