The frequency distribution of the annual maximum (or minimum) values of meteorological elements
โ Scribed by A. F. Jenkinson
- Publisher
- John Wiley and Sons
- Year
- 1955
- Tongue
- English
- Weight
- 627 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0035-9009
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
๐ SIMILAR VOLUMES
We give an upper bound for the expected value of the largest order statistic of a simple random sample of size n from a discrete distribution on N points. We also characterize the distributions that attain such bound. In the particular case n = 2; we obtain a characterization of the discrete uniform