Evaluation of Various Generalized Pareto Probability Distributions for Flood Frequency Analysis

This article analyzes six probability distributions from the Generalized Pareto family, with three, four and five parameters, with the main purpose of identifying other distributions from this family with applicability in flood frequency analysis compared to the distribution already used in the lite...

Full description

Saved in:
Bibliographic Details
Published inWater (Basel) Vol. 15; no. 8; p. 1557
Main Authors Anghel, Cristian Gabriel, Ilinca, Cornel
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.04.2023
Subjects
Approximation
Case studies
Comparative analysis
Confidence intervals
Disaster victims
Distribution (Probability theory)
Distribution functions
estimation parameters
extreme value statistics
Flood frequency
Floods
Frequency analysis
Hydrology
Parameter estimation
Pareto
Probability
Probability density functions
Romania
Skewness
Wakeby
Romania
Online AccessGet full text

Cover

More Information
Summary:This article analyzes six probability distributions from the Generalized Pareto family, with three, four and five parameters, with the main purpose of identifying other distributions from this family with applicability in flood frequency analysis compared to the distribution already used in the literature from this family such as Generalized Pareto Type II and Wakeby. This analysis is part of a larger and more complex research carried out in the Faculty of Hydrotechnics regarding the elaboration of a norm for flood frequency analysis using the linear moments method. In Romania, the standard method of parameter estimation is the method of ordinary moments, thus the transition from this method to the method of linear moments is desired. All the necessary elements for the distribution use are presented, such as the probability density functions, the complementary cumulative distribution functions, the quantile functions, and the exact and approximate relations for estimating parameters, for both methods of parameter estimation. All these elements are necessary for a proper transition between the two methods, especially since the use of the method of ordinary moments is done by choosing the skewness of the observed data depending on the origin of the maximum flows. A flood frequency analysis case study, using annual maximum and annual exceedance series, was carried out for the Prigor River to numerically present the analyzed distributions. The performance of this distribution is evaluated using a linear moments diagram.
ISSN:2073-4441
2073-4441
DOI:10.3390/w15081557