Abstract
A numerical method for evaluating the possibilities of the extreme wet and the extreme dry periods of a hydrological sequence is presented on the basis of stationary independent and Markovian processes that are currently employed in the planning and operation of water resources systems. The validity of the formula has been checked against the Monte Carlo simulation results obtained on a digital computer. Recurrence relationships for the probability distribution functions of the longest wet and dry periods have been derived by direct enumeration and the statistical properties of these extremes are presented.

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