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LH-moment estimation of Wakeby distribution with hydrological applications

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Abstract

This article discusses the method of higher-order L-moment (LH-moment) estimation for the Wakeby distribution (WAD), and describes and formulates details of parameter estimation using LH-moments for WAD. Monte Carlo simulation is performed, to illustrate the performance of the LH-moment method via heavy-tail quantiles (over all quantiles) using WAD. The LH-moment method proves as useful and effective as the L-moment approach in handling data that follow WAD, and it is then applied to annual maximum flood and wave height data.

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Acknowledgments

The first author would like to thank the financial support provided by the National Research Foundation (NRF) of Korea with the grant number NRF-2014K2A4A1035022. Park’s research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2013R1A1A4A01009355). The third grant was funded by Mahasarakham University, Thailand. We would like to thank Prof. Roger Hosking for helpful comments.

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Authors and Affiliations

  1. Applied Statistics Research Unit, Department of Mathematics, Mahasarakham University, Mahasarakham, 44150, Thailand

    Piyapatr Busababodhin & Bung-on Kumphon

  2. Department of Statistics, Chonnam National University, Gwangju, 500-757, South Korea

    Yun Am Seo & Jeong-Soo Park

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  1. Piyapatr Busababodhin
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  2. Yun Am Seo
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  3. Jeong-Soo Park
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  4. Bung-on Kumphon
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Correspondence to Bung-on Kumphon.

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Busababodhin, P., Seo, Y.A., Park, JS. et al. LH-moment estimation of Wakeby distribution with hydrological applications. Stoch Environ Res Risk Assess 30, 1757–1767 (2016). https://doi.org/10.1007/s00477-015-1168-4

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