Trimmed L-Moments of the Pearson Type III Distribution for Flood Frequency Analysis

Yifan Jia (), Songbai Song () and Liting Ge ()
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Yifan Jia: Northwest A&F University
Songbai Song: Northwest A&F University
Liting Ge: Northwest A&F University

Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), 2023, vol. 37, issue 3, No 16, 1340 pages

Abstract: Abstract Trimmed L-moments (TL-moments) can reduce the undesirable effects of small sample events when estimating large return period events. This study proposes a new method to investigate the TL-moments method for the Pearson type III (P-III) distribution and derives new formulas for the TL-moments of the P-III distribution. The formulas for the TL-moments of the P-III distribution derived by Mat Jan and Shabri (Theor Appl Climatol 127(1–2):213–227, 2015) are also corrected. From the simulation results, the TL-moments method of the P-III distribution proposed in this paper is almost the same as the TL-moments method proposed by Mat Jan and Shabri (Theor Appl Climatol 127(1–2):213–227, 2015), and it can show good parameter estimation performance when the sample size is small and $${C}_{s}>2.0{C}_{v}$$ C s > 2.0 C v . The annual maximum streamflow data in northern Shaanxi, China is used as a case study. The results show that the TL-moments (2, 0) method is the most suitable method for the Zaoyuan and Liujiahe stations and the Huangling station is best fitted with the TL-moments (3, 0) method.

Keywords: Trimmed L-moments; Pearson type III distribution; Flood frequency analysis; Parameter estimation (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s11269-023-03435-x

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