Flood events of the Pachang River, one of the major rivers in Taiwan, are modeled by extreme value distributions. Flood events are characterized by its peak, volume, duration and the time of peak. Flood volume and peak are fitted to a generalized extreme value distribution. Flood duration and...

Motivated by hydrological applications, we derive the exact distributions of R=X + Y, P=XY and W=X/(X+Y) and the corresponding moment properties when X and Y follow Friday and Patil's bivariate exponential distribution. An application of the results is provided to drought data from Nebraska....

Downton’s bivariate exponential distribution has been a popular model for hydrological sciences. However, it seems that no explicit expressions for its product moments are available. In this short note, we provide a direct derivation of a general expression for the product moments and also...

It is pointed out that Hantush’s M(α, β) and M*(α, β) functions, two functions that arise with respect to groundwater pumping modeling, are particular cases of the generalized incomplete exponential functions known in the mathematics/statistics literature. Some relevant computational...

Motivated by hydrological problems, the exact distributions of the sum X + Y, the product X Y and the ratio X/(X + Y) are derived when X and Y are independent Pareto random variables. A detailed application of the results is provided to extreme rainfall data from Florida. Copyright...