Some remarks on a characterization of the generalized log-logistic distribution

We show that two well known characterization theorems for the exponential distribution, based on the lack of memory property and independence of successive spacings, can be used to characterize other absolutely continuous distributions useful in modelling precipitation and stream-flow data. Characterization of the generalized log-logistic distributions of El-Saidi et al. (Environmetrics, 1, 337-342, 1990) can easily be derived from the results presented in this paper. New characterizations of these distributions, in terms of independence of certain functions of order statistics, are also given.