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Estimating distribution parameters of annual maximum streamflows in Johor, Malaysia using TL-moments approach

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Abstract

TL-moments approach has been used in an analysis to identify the best-fitting distributions to represent the annual series of maximum streamflow data over seven stations in Johor, Malaysia. The TL-moments with different trimming values are used to estimate the parameter of the selected distributions namely: Three-parameter lognormal (LN3) and Pearson Type III (P3) distribution. The main objective of this study is to derive the TL-moments (t 1,0), t 1 = 1,2,3,4 methods for LN3 and P3 distributions. The performance of TL-moments (t 1,0), t 1 = 1,2,3,4 was compared with L-moments through Monte Carlo simulation and streamflow data over a station in Johor, Malaysia. The absolute error is used to test the influence of TL-moments methods on estimated probability distribution functions. From the cases in this study, the results show that TL-moments with four trimmed smallest values from the conceptual sample (TL-moments [4, 0]) of LN3 distribution was the most appropriate in most of the stations of the annual maximum streamflow series in Johor, 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 4 F275. 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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  1. Department of Mathematics, Faculty of Science, Universiti Teknologi Malaysia, 81310, Skudai, Johor, Malaysia

    Nur Amalina Mat Jan & Ani Shabri

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  1. Nur Amalina Mat Jan
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  2. Ani Shabri
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Correspondence to Ani Shabri.

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Mat Jan, N.A., Shabri, A. Estimating distribution parameters of annual maximum streamflows in Johor, Malaysia using TL-moments approach. Theor Appl Climatol 127, 213–227 (2017). https://doi.org/10.1007/s00704-015-1623-7

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  • DOI: https://doi.org/10.1007/s00704-015-1623-7

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