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http://dx.doi.org/10.9765/KSCOE.2020.32.1.26

Independence and Homogeneity Tests of the Annual Maxima Data used to Estimate the Design Wave Height  

Cho, Hong Yeon (Marine Bigdata Center, Korea Institute of Ocean Science and Technology, University of Science and Technology)
Jeong, Weon Mu (Maritime ICT R&D Center, Korea Institute of Ocean Science and Technology)
Back, Jong Dai (Coastal and Ocean Technology Research Institute)
Publication Information
Journal of Korean Society of Coastal and Ocean Engineers / v.32, no.1, 2020 , pp. 26-38 More about this Journal
Abstract
A statistical test was carried out on the IID (Independently and Identically Distributed) assumption of the AM (Annual Maxima) data used to estimate the design wave height. The test was divided into independence (randomness) test and homogeneity test, and each test was conducted on AM data of 210 and 310 stations in coastal and inner coastal grids in typhoon and non-typhoon (monsoon) conditions. As a result of the independence test, the rejection ratios of the test are in the range of 1.8~5.3% and 1.4~6.0% for the non-typhoon and typhoon data sets, respectively. On the other hand, in the distribution difference test of typhoon data and nontyphoon data, the same distribution hypothesis was found to be rejected in the range of 47~79% according to the test method for both coastal grid and inner coastal grid. Therefore, in estimating design wave height by extreme value analysis, the estimation process by dividing the typhoon and non-typhoon data is appropriate.
Keywords
design wave height; IID assumption; independence test; homogeneity test; annual maxima data;
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