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

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  • Milan Stojković
  • Stevan Prohaska
  • Nikola Zlatanović

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.

Suggested Citation

  • Milan Stojković & Stevan Prohaska & Nikola Zlatanović, 2017. "Estimation of flood frequencies from data sets with outliers using mixed distribution functions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(11), pages 2017-2035, August.
  • Handle: RePEc:taf:japsta:v:44:y:2017:i:11:p:2017-2035
    DOI: 10.1080/02664763.2016.1238055
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    Cited by:

    1. Wiesław Szulczewski & Wojciech Jakubowski, 2018. "The Application of Mixture Distribution for the Estimation of Extreme Floods in Controlled Catchment Basins," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(10), pages 3519-3534, August.
    2. Milan Stojkovic & Slobodan P. Simonovic, 2019. "Mixed General Extreme Value Distribution for Estimation of Future Precipitation Quantiles Using a Weighted Ensemble - Case Study of the Lim River Basin (Serbia)," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(8), pages 2885-2906, June.
    3. Slobodan Kolaković & Vladimir Mandić & Milan Stojković & Goran Jeftenić & Danilo Stipić & Srđan Kolaković, 2023. "Estimation of Large River Design Floods Using the Peaks-Over-Threshold (POT) Method," Sustainability, MDPI, vol. 15(6), pages 1-14, March.

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