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An analysis of annual maximum streamflows in Terengganu, Malaysia using TL-moments approach

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Abstract

TL-moments approach has been used in an analysis to determine the best-fitting distributions to represent the annual series of maximum streamflow data over 12 stations in Terengganu, Malaysia. The TL-moments with different trimming values are used to estimate the parameter of the selected distributions namely: generalized pareto (GPA), generalized logistic, and generalized extreme value distribution. The influence of TL-moments on estimated probability distribution functions are examined by evaluating the relative root mean square error and relative bias of quantile estimates through Monte Carlo simulations. The boxplot is used to show the location of the median and the dispersion of the data, which helps in reaching the decisive conclusions. For most of the cases, the results show that TL-moments with one smallest value was trimmed from the conceptual sample (TL-moments (1,0)), of GPA distribution was the most appropriate in majority of the stations for describing the annual maximum streamflow series in Terengganu, Malaysia.

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Acknowledgments

Special thanks to Kementerian Pengajian Tinggi Malaysia (KPT) and Ministry of Science, Technology and Innovation (MOSTI) Malaysia for funding this research under Vot 79346. We thank the Department of Irrigation and Drainage, Ministry of Natural Resources and Environment, Malaysia for providing the data for this study. Lastly, thanks are given to the Universiti Teknologi Malaysia.

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Authors and Affiliations

  1. Faculty of Science, Universiti Teknologi Malaysia, 81310, Skudai, Johor, Malaysia

    Ummi Nadiah Ahmad & Ani Shabri

  2. Faculty of Informatics, Universiti Sultan Zainal Abidin, PO BOX 21300, Kuala Terengganu, Terengganu, Malaysia

    Zahrahtul Amani Zakaria

Authors
  1. Ummi Nadiah Ahmad
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  2. Ani Shabri
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  3. Zahrahtul Amani Zakaria
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Correspondence to Ummi Nadiah Ahmad.

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Ahmad, U.N., Shabri, A. & Zakaria, Z.A. An analysis of annual maximum streamflows in Terengganu, Malaysia using TL-moments approach. Theor Appl Climatol 111, 649–663 (2013). https://doi.org/10.1007/s00704-012-0679-x

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  • DOI: https://doi.org/10.1007/s00704-012-0679-x

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