Wakeby distribution for representing annual extreme and partial duration rainfall series

In this study, to measure the upper right tail estimate performances for representing annual extreme and partial duration precipitation series at 31 stations in the northeastern and southeastern United States, the results of five-parameter Wakeby-L moments distribution were compared to those by beta-κ, and beta-P distributions. The statistics of modified Anderson-Darling and average deviation (AD) and the bootstrap resampling to extrapolate the right tail beyond the data showed that the Wakeby distribution gave mostly better results than beta-κ and beta-P, and sometimes it produced comparable results to those by beta-κ and beta-P. Copyright © 2007 Royal Meteorological Society

[1]  M. I. Ahmad,et al.  Assessment of flood frequency models using empirical distribution function statistics , 1988 .

[2]  T. Haktanir,et al.  Evaluation of various distributions for flood frequency analysis , 1993 .

[3]  T. Haktanir.  Comparison of various flood frequency distributions using annual flood peaks data of rivers in Anatolia , 1992 .

[4]  J. R. Wallis,et al.  Probability weighted moments compared with some traditional techniques in estimating Gumbel Parameters and quantiles , 1979 .

[5]  J. R. Wallis,et al.  Estimation of parameters and quantiles of Wakeby Distributions: 1. Known lower bounds , 1979 .

[6]  J. R. Wallis,et al.  Regional Frequency Analysis: An Approach Based on L-Moments , 1997 .

[7]  P. Mielke,et al.  Some generalized beta distributions of the second kind having desirable application features in hydrology and meteorology , 1974 .

[8]  A. Bozduman,et al.  A study on sensitivity of the probability-weighted moments method on the choice of the plotting position formula , 1995 .

[9]  B. Efron,et al.  The Jackknife: The Bootstrap and Other Resampling Plans. , 1983 .

[10]  J. C. Houghton.  Birth of a parent: The Wakeby Distribution for modeling flood flows , 1978 .

[11]  S. Chander,et al.  Statistical Flood Frequency Analysis — An Overview , 1987 .

[12]  A. Rao,et al.  An Empiricial Study of Probability Distributions of Annual Maximum Floods , 1987 .

[13]  J. R. Wallis,et al.  Regional frequency analysis , 1997 .

[14]  Francis H. S. Chiew,et al.  Floodflow frequency model selection in Australia , 1993 .

[15]  D. Wilks.  Comparison of three‐parameter probability distributions for representing annual extreme and partial duration precipitation series , 1993 .