Abstract
If the distribution of precipitation amounts for an initial time interval (daily, or weekly, etc., periods) at a station may be represented by a gamma distribution, it is shown that the distribution of precipitation amounts for longer intervals can be predicted, provided that (a) the correlation between the precipitation amounts of the initial interval is low and (b) the statistical process can be looked upon as a stationary process. Prediction for periods shorter than the initial interval is also possible if the correlation between the amounts of the shortest period desired is not too high. The equations are applied to data of a precipitation station, the initial interval being taken as the daily period (correlation between the daily amounts is about 1/3). Predictions are made for periods 15, 30, 45, and 90 days long with good results.
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