Statistical distribution of extremes of rainfall at Colaba, Bombay
Frequency distribution of annual maximum 1,2, 3, 6, 12, 24, 36 and 48-hr rainfall recorded at Colaba observatory, Bombay from 1924 to 1984 is studied using Gumbel and gamma distributions-both have been fitted using moments and maximum likelihood estimates separately. Gumbel distribution fitted with method of moments is found to be most suitable as indicated by minimum values of the absolute relative deviation and quadratic deviation but the fit of Gumbel distribution using maximum likelihood estimates was, by and large, equally satisfactory. The results are presented on an extreme-value probability paper giving rainfall depth duration-freqtiency (DDF) relationships for Bombay. Relationship between mean annual maximum rainfall and the duration has been obtained in order to simplify the understanding of extreme rainfall amount and duration. The relationship is found valid for 5, 10, 15 and 30-min extreme rainfall also
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