Abstract
In this paper, we establish a generalized extreme Value-Pareto distribution model and derive an analytical expression of Weibull–Pareto distribution model. Based on a data sample of 26-year wave height, we adopt the new model to estimate the design wave height for 500, 700 and 1000-year return periods. Results show that the design wave height from Weibull–Pareto distribution is between that of the Weibull distribution and that of the Pearson-III distribution. For the 500-year return period design wave height, the results from the new model is 1.601% lower than those from the Weibull distribution and 1.319% higher than those from the Pearson-III distribution. The Weibull–Pareto distribution innovatively considers the fractal features, extreme-value statistics and the truncated data in the derivation process. Therefore, it is a more holistic and practical model for estimating the design parameters in marine and coastal environments.
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Foundation item: This work was supported by the NSFC-Shandong Joint Fund (Grant No. U1706226), and Graduate Education Reform and Research Fund (Grant No. HDJG18007).
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Chen, By., Zhang, Ky., Wang, Lp. et al. Generalized Extreme Value-Pareto Distribution Function and Its Applications in Ocean Engineering. China Ocean Eng 33, 127–136 (2019). https://doi.org/10.1007/s13344-019-0013-9
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DOI: https://doi.org/10.1007/s13344-019-0013-9