Estimation of flood frequencies from data sets with outliers using mixed distribution functions

Milan Stojković, Stevan Prohaska and Nikola Zlatanović

Journal of Applied Statistics, 2017, vol. 44, issue 11, 2017-2035

Abstract: In this paper the estimation of high return period quantiles of the flood peak and volume in the Kolubara River basin are carried out. Estimation of flood frequencies is carried out on a data set containing high outliers which are identified by the Rosner’s test. Simultaneously, low outliers are determined by the multiple Grubbs–Beck. The next step involved the usage of the mixed distribution functions applied to a data set from three populations: floods with low outliers, normal floods and floods with high outliers. The contribution of the data set with low outliers is neglected, since it should underestimate the flood quantiles with large return periods. Consequently, the best fitted mixed distribution from the applied types (EV1, GEV, P3 and LP3) was determined by using the minimum standard error of fit.

Date: 2017
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DOI: 10.1080/02664763.2016.1238055

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