A Bivariate Extreme Value Distribution Applied to Flood Frequency Analysis | Zendy

Sheng Yue | Zendy

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A Bivariate Extreme Value Distribution Applied to Flood Frequency Analysis

Author(s) -

Sheng Yue

Publication year - 2001

Publication title -

hydrology research

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.665

H-Index - 48

eISSN - 1996-9694

pISSN - 0029-1277

DOI - 10.2166/nh.2001.0004

Subject(s) - gumbel distribution , generalized extreme value distribution , bivariate analysis , joint probability distribution , flood myth , extreme value theory , marginal distribution , logistic distribution , multivariate statistics , distribution (mathematics) , copula (linguistics) , statistics , probabilistic logic , joint (building) , mathematics , multivariate normal distribution , econometrics , environmental science , logistic regression , geography , random variable , mathematical analysis , archaeology , architectural engineering , engineering

This article presents a procedure for use of the Gumbel logistic model to represent the joint distribution of two correlated extreme events. Parameters of the distribution are estimated using the method of moments. On the basis of marginal distributions, the joint distribution, the conditional distributions, and the associated return periods can be deduced. The applicability of the model is demonstrated by using multiple episodic flood events of the Harricana River basin in the province of Quebec, Canada. It is concluded that the model is useful for describing joint probabilistic behavior of multivariate flood events.

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