Abstract
The statistics of a daily rainfall-runoff process are theoretically derived from the characteristic function of a filtered point process. The counting process of a point process (daily rainfall) is represented by one of binomial, Poisson, and negative binomial probability distributions according to the ratio of mean to variance. Marks of the point process are magnitudes of daily rainfall. As an pulse-response function a tank model is adopted. The application of the proposed model to daily rainfall-runoff data at Motoyama in Kochi Prefecture is shown.
