A three-parameter kappa distribution with hydrologic application: a generalized gumbel distribution

作者: Bo Yoon Jeong , Md. Sharwar Murshed , Yun Am Seo , Jeong-Soo Park

DOI: 10.1007/S00477-014-0865-8

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摘要: A three-parameter kappa distribution (K3D) as a special case of the four-parameter is studied. This viewed generalized Gumbel distribution. description mathematical properties K3D provided. We consider moment generating function, moments, L-moments, LH-moments, asymptotic extreme order statistics, and its graphical illustrations. Parameters are estimated by using method L-moments maximum likelihood method. Monte-Carlo simulation study given to compare estimation methods. To illustrate applicability, heavy rainfall data from Korea analyzed, fitness compared with Gumbel, value distributions.

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