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Assessment of flood frequency models using empirical distribution function statistics
Author(s) -
Ahmad M. I.,
Sinclair C. D.,
Spurr B. D.
Publication year - 1988
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/wr024i008p01323
Subject(s) - anderson–darling test , empirical distribution function , statistics , generalized extreme value distribution , statistic , test statistic , mathematics , goodness of fit , probability distribution , kolmogorov–smirnov test , flood myth , extreme value theory , probability density function , distribution function , series (stratigraphy) , statistical physics , statistical hypothesis testing , geography , physics , geology , paleontology , quantum mechanics , archaeology
Tests of goodness of fit of the generalized extreme value (GEV) and the generalized logistic (GL) distribution based on the empirical distribution function are described. Significance points for the Anderson‐Darling (Anderson and Darling, 1952, 1954) and a recently introduced modified Anderson‐ Darling (Sinclair et al., 1987) test statistic are obtained by simulation. For each of these distributions the unknown parameters are estimated from the sample data using probability weighted moments. Approximations for the probability of significance of these test statistics are provided. This enables assessment of GEV and GL flood frequency models for a hydrological region based on all the annual maximum series in the region.