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Abstract It is shown that the probability P that the annual maximum value of a meteorological element is less than a given value x can be expressed as exp equation image where a and k are constants such that ak is positive. The parameters a and k can be evaluated from data of annual maximum values for a given period of years. Hence we derive the average highest and lowest in sets of T annual maxima, and also the maximum value to be expected once in T years.
A. F. Jenkinson (Fri,) studied this question.
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