Abstract
In this article, skew-elliptical time series are defined in order to account for both skewness and kurtosis, with particular emphasis on the skew-normal and skew-t distributions. The bivariate skew-t distribution is then used to describe a 63 year time series of hourly sea levels measured at Charlottetown, Atlantic Canada. It is shown that the skew-t fits the data better than the normal distribution and it can be used to recover return periods of extreme levels based on a standard analysis of 63 annual maxima. Preliminary results are presented to show how the skew-t distribution may be used to estimate changes in flooding risk resulting from changes in sea level rise, storminess, and other climatic factors.
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© 2004 Springer-Verlag New York, LLC
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Genton, M.G., Thompson, K.R. (2004). Skew-Elliptical Time Series with Application to Flooding Risk. In: Brillinger, D.R., Robinson, E.A., Schoenberg, F.P. (eds) Time Series Analysis and Applications to Geophysical Systems. The IMA Volumes in Mathematics and its Applications, vol 139. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9386-3_9
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DOI: https://doi.org/10.1007/978-1-4684-9386-3_9
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