The GEV Distribution in Drought Frequency Analysis

by Jose A. Raynal-Villasenor, Univ Nacional Autonoma de Mexico, Mexico City, Mexico,
Jose C. Douriet-Cardenas, Univ Nacional Autonoma de Mexico, Mexico City, Mexico,

Document Type: Proceeding Paper

Part of: Engineering Hydrology


Three decades have passed since A. F. Jenkinson found the general solution to the Stability Postulate, which is the condition that all the extremes must meet, and after him that solution has been called the general extreme value (GEV) distribution. The GEV distribution has been widely used in flood frequency analysis, but rarely has been applied to drought frequency analysis. This is the topic of the paper. Furthermore, estimation procedures to obtain its - parameters are included in the text of the paper. The methods depicted are: moments, maximum likelihood and probability weighted moments. Finally, the results of application of the GEV distribution to a region in Northwestern Mexico are reported, too.

Subject Headings: Frequency distribution | Flood frequency | Droughts | Frequency analysis | Moment (mechanics) | Water resources | Parameters (statistics) | Probability | Mexico

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