Fitting extreme value distributions to the Zambezi River flood water levels recorded at Katima Mulilo in Namibia (1965-2003)
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Date
2005
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
University of the Western Cape
Abstract
This study sought to identify and fit the appropriate extreme value distribution to
flood data, using the method of maximum likelihood. To examine the uncertainty of
the estimated parameters and evaluate the goodness of fit of the model identified. The
study revealed that the three parameter Weibull and the generalised extreme value
(GEV) distributions fit the data very well. Standard errors for the estimated
parameters were calculated from the empirical information matrix. An upper limit to
the flood levels followed from the fitted distribution.
Description
>Magister Scientiae - MSc
Keywords
Extreme value theory, Generalized extreme value distribution, QQ plots, Limit to flood levels, Annual maximum flood level, Weibull distribution, Zambezi river, Likelihood ratio testing, Empirical information matrix