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

Author

Listed:
  • Yifan Jia

    (Northwest A&F University
    Ministry of Education, Northwest A&F University)

  • Songbai Song

    (Northwest A&F University
    Ministry of Education, Northwest A&F University)

  • Liting Ge

    (Northwest A&F University
    Ministry of Education, Northwest A&F University)

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.

Suggested Citation

  • Yifan Jia & Songbai Song & Liting Ge, 2023. "Trimmed L-Moments of the Pearson Type III Distribution for Flood Frequency Analysis," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(3), pages 1321-1340, February.
    • Handle: RePEc:spr:waterr:v:37:y:2023:i:3:d:10.1007_s11269-023-03435-x
    DOI: 10.1007/s11269-023-03435-x
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    References listed on IDEAS

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    1. Asquith, William H., 2007. "L-moments and TL-moments of the generalized lambda distribution," Computational Statistics & Data Analysis, Elsevier, vol. 51(9), pages 4484-4496, May.
    2. T. K. Drissia & V. Jothiprakash & A. B. Anitha, 2019. "Flood Frequency Analysis Using L Moments: a Comparison between At-Site and Regional Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(3), pages 1013-1037, February.
    3. Homa Razmkhah & Alireza Fararouie & Amin Rostami Ravari, 2022. "Multivariate Flood Frequency Analysis Using Bivariate Copula Functions," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(2), pages 729-743, January.
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