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A bivariate gamma distribution for use in multivariate flood frequency analysis
Author(s) -
Yue Sheng
Publication year - 2001
Publication title -
hydrological processes
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.222
H-Index - 161
eISSN - 1099-1085
pISSN - 0885-6087
DOI - 10.1002/hyp.259
Subject(s) - bivariate analysis , joint probability distribution , flood myth , multivariate statistics , marginal distribution , multivariate analysis , statistics , gamma distribution , 100 year flood , return period , distribution (mathematics) , hydrology (agriculture) , environmental science , multivariate normal distribution , mathematics , geography , geology , random variable , geotechnical engineering , mathematical analysis , archaeology
A gamma distribution is one of the most frequently selected distribution types for hydrological frequency analysis. The bivariate gamma distribution with gamma marginals may be useful for analysing multivariate hydrological events. This study investigates the applicability of a bivariate gamma model with five parameters for describing the joint probability behavior of multivariate flood events. The parameters are proposed to be estimated from the marginal distributions by the method of moments. The joint distribution, the conditional distribution, and the associated return periods are derived from marginals. The usefulness of the model is demonstrated by representing the joint probabilistic behaviour between correlated flood peak and flood volume and between correlated flood volume and flood duration in the Madawask River basin in the province of Quebec, Canada. Copyright © 2001 John Wiley & Sons, Ltd.