抄録
We derived differential equations whose solutions provide the first four momentsof discharge under the condition that rainfall input is mutually dependent random variable using the storage function runoff model proposed by Hoshi et al. In the concrete, we assumed that the deviation from average rainfall is described by AR (1) process based on the statistical analysis of observed rainfall. The validity of proposed theoretical equations was cross-checked by a simulation. It is possible to estimate the probability density function of discharge by the calculated first four moments of discharge. The results of this study can be applied to estimating the design flood.
