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	Models for extremes using the extended three-parameter Burr XII system with application to flood frequency analysis
	Xia J.
	2004
关键词	extended Burr XII distribution flood frequency analysis generalized Pareto distribution limiting distribution log-logistic distribution Pareto distribution Weibull distribution generalized pareto distribution maximum-likelihood-estimation parameter-estimation order-statistics distributions transformation quantile
英文摘要	A new theoretically-based distribution in frequency analysis is proposed. The extended three-parameter Burr XII distribution includes the generalized Pareto distribution, which is used to model the exceedences over threshold; log-logistic distribution, which is also advocated in flood frequency analysis; and Weibull distribution, which is a part of the generalized extreme value distribution used to model annual maxima as special cases. The extended Burr distribution is flexible to approximate extreme value distribution. Note that both the generalized Pareto and generalized extreme value distributions are limiting results in modelling the exceedences over threshold and block extremes, respectively. From a modelling perspective, generalization might be necessary in order to obtain a better fit. The extended three-parameter Burr XII distribution is therefore a meaningful candidate distribution in the frequency analysis. Maximum likelihood estimation for this distribution is investigated in the paper. The use of the extended three-parameter Burr XII distribution is demonstrated using data from China.
出处	Hydrological Sciences Journal-Journal Des Sciences Hydrologiques
卷	49
期	4
页	685-702
收录类别	SCI
语种	英语
ISSN号	0262-6667
内容类型	SCI/SSCI论文
源URL	[http://ir.igsnrr.ac.cn/handle/311030/23119]
专题	地理科学与资源研究所_历年回溯文献
推荐引用方式 GB/T 7714	Xia J.. Models for extremes using the extended three-parameter Burr XII system with application to flood frequency analysis. 2004.

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