Commit 43f461b4 authored by Felix Fauer's avatar Felix Fauer
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manual for idf package

parent 7b6a7b81
...@@ -25,11 +25,11 @@ modified location parameter \eqn{\tilde{\mu}=\mu/\sigma(d)\in R} ...@@ -25,11 +25,11 @@ modified location parameter \eqn{\tilde{\mu}=\mu/\sigma(d)\in R}
and shape parameter \eqn{\xi\in R}, \eqn{\xi\neq 0}. and shape parameter \eqn{\xi\in R}, \eqn{\xi\neq 0}.
The parameters \eqn{\theta \leq 0} and \eqn{0<\eta<1} are duration offset and duration exponent The parameters \eqn{\theta \leq 0} and \eqn{0<\eta<1} are duration offset and duration exponent
and describe the slope and curvature in the resulting IDF curves, respectively. and describe the slope and curvature in the resulting IDF curves, respectively.
\item The dependence of location and scale parameter on duration, \eqn{\sigma(d)} and \eqn{\mu(d)}, can be extended by multiscaling \item The dependence of scale and location parameter on duration, \eqn{\sigma(d)} and \eqn{\mu(d)}, can be extended by multiscaling
and flattening, if requested. Multiscaling introduces a second duration exponent \eqn{\eta_2}, enabling the model to change slope and flattening, if requested. Multiscaling introduces a second duration exponent \eqn{\eta_2}, enabling the model to change slope
linearly with return period. Flattening adds a parameter \eqn{\tau}, that flattens the IDF curve for long durations: linearly with return period. Flattening adds a parameter \eqn{\tau}, that flattens the IDF curve for long durations:
\deqn{\sigma(x)=\sigma_0(d+\theta)^{-\eta_2}+\tau } \deqn{\sigma(x)=\sigma_0(d+\theta)^{-\eta_2}+\tau }
\deqn{\mu(x)=\tilde{mu}(\sigma_0(d+\theta)^{-\eta}+\tau)} \deqn{\mu(x)=\tilde{\mu}(\sigma_0(d+\theta)^{-\eta_1}+\tau)}
\item A useful introduction to \strong{Maximum Likelihood Estimation} for fitting for the \item A useful introduction to \strong{Maximum Likelihood Estimation} for fitting for the
generalized extreme value distribution (GEV) is provided by Coles (2001). It should be noted, however, that this method uses generalized extreme value distribution (GEV) is provided by Coles (2001). It should be noted, however, that this method uses
the assumption that block maxima (of different durations or stations) are independent of each other. the assumption that block maxima (of different durations or stations) are independent of each other.
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