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A frequency distribution for annual floods
Author(s) -
Boughton Walter C.
Publication year - 1980
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr016i002p00347
Subject(s) - gumbel distribution , log normal distribution , logarithm , statistics , distribution (mathematics) , mathematics , distribution fitting , frequency distribution , log logistic distribution , extreme value theory , probability distribution , mathematical analysis
A distribution for frequency analysis of the logarithms of annual floods has been derived from data from 78 catchments in eastern Australia. The statistics of data from these catchments demonstrate the need for three‐parameter distributions instead of two‐parameter distributions for analysis of annual floods. A nonlinear relationship between frequency factor and In In [ T /[ T − 1)] function of recurrence interval is demonstrated, and this relationship is used as the basis for the distribution. Methods of fitting the distribution to data sets, including sets which contain zero values, are described. A comparison is made of results from the new distribution, the log Pearson type 3, the log normal, the log Gumbel, and the Gumbel distributions.