Commit 5a8648e6 authored by Laura Mack's avatar Laura Mack
Browse files

changed syntax in d-GEV formula

parent 5fe91178
Package: IDF Package: IDF
Type: Package Type: Package
Title: Estimation and Plotting of IDF Curves Title: Estimation and Plotting of IDF Curves
Version: 0.0.2 Version: 2.0.0
Date: 2019-02-06 Date: 2020-11-22
Authors@R: c(person("Jana", "Ulrich", email = "jana.ulrich@fu-berlin.de", role = c("aut", "cre")), Authors@R: c(person("Jana", "Ulrich", email = "jana.ulrich@fu-berlin.de", role = c("aut", "cre")),
person("Christoph", "Ritschel",email= "christoph.ritschel@met.fu-berlin.de", role = "aut"), person("Laura","Mack", email= "laura.mack@fu-berlin.de",role="ctb"),
person("Christoph", "Ritschel", role = "aut"),
person("Carola", "Detring", role = "ctb"), person("Carola", "Detring", role = "ctb"),
person("Sarah", "Joedicke", role = "ctb")) person("Sarah", "Joedicke", role = "ctb"))
Description: Intensity-duration-frequency (IDF) curves are a widely used analysis-tool Description: Intensity-duration-frequency (IDF) curves are a widely used analysis-tool
...@@ -14,7 +15,9 @@ Description: Intensity-duration-frequency (IDF) curves are a widely used analysi ...@@ -14,7 +15,9 @@ Description: Intensity-duration-frequency (IDF) curves are a widely used analysi
precipitation time series on the basis of a duration-dependent precipitation time series on the basis of a duration-dependent
generalised extreme value distribution generalised extreme value distribution
[Koutsoyannis et al., 1998, <doi:10.1016/S0022-1694(98)00097-3>]. [Koutsoyannis et al., 1998, <doi:10.1016/S0022-1694(98)00097-3>].
Imports: stats4, Author: Jana Ulrich [aut, cre], Laura Mack [ctb], Christoph Ritschel [aut], Carola Detring [ctb], Sarah Joedicke [ctb]
Maintainer: Jana Ulrich <jana.ulrich@fu-berlin.de>
Imports: stats,
evd, evd,
ismev, ismev,
RcppRoll, RcppRoll,
......
...@@ -13,7 +13,7 @@ ...@@ -13,7 +13,7 @@
#' #'
#' @details The duration dependent GEV distribution is defined after #' @details The duration dependent GEV distribution is defined after
#' [Koutsoyannis et al., 1998]: #' [Koutsoyannis et al., 1998]:
#' \deqn{ G(x)= exp[-{ 1+\xi(x/\sigma(d)-\mu_t) }^(-1/\xi)] } #' \deqn{ G(x)= \exp[-\left( 1+\xi(x/\sigma(d)-\mu_t) \right)^{-1/\xi}] }
#' with the duration dependent scale \eqn{\sigma(d)=\sigma_0/(d+\theta)^\eta} and #' with the duration dependent scale \eqn{\sigma(d)=\sigma_0/(d+\theta)^\eta} and
#' modified location parameter \eqn{\mu_t=\mu/\sigma(d)}. #' modified location parameter \eqn{\mu_t=\mu/\sigma(d)}.
#' #'
...@@ -68,7 +68,7 @@ dgev.d <- function(q,mut,sigma0,xi,theta,eta,d,...) { ...@@ -68,7 +68,7 @@ dgev.d <- function(q,mut,sigma0,xi,theta,eta,d,...) {
#' #'
#' @details The duration dependent GEV distribution is defined after #' @details The duration dependent GEV distribution is defined after
#' [Koutsoyannis et al., 1998]: #' [Koutsoyannis et al., 1998]:
#' \deqn{ G(x)= exp[-{ 1+\xi(x/\sigma(d)-\mu_t) }^(-1/\xi)] } #' \deqn{G(x)= \exp[-\left( 1+\xi(x/\sigma(d)-\mu_t) \right)^{-1/\xi}] }
#' with the duration dependent scale \eqn{\sigma(d)=\sigma_0/(d+\theta)^\eta} and #' with the duration dependent scale \eqn{\sigma(d)=\sigma_0/(d+\theta)^\eta} and
#' modified location parameter \eqn{\mu_t=\mu/\sigma(d)}. #' modified location parameter \eqn{\mu_t=\mu/\sigma(d)}.
#' #'
...@@ -112,7 +112,7 @@ pgev.d <- function(q,mut,sigma0,xi,theta,eta,d,...) { ...@@ -112,7 +112,7 @@ pgev.d <- function(q,mut,sigma0,xi,theta,eta,d,...) {
#' #'
#' @details The duration dependent GEV distribution is defined after #' @details The duration dependent GEV distribution is defined after
#' [Koutsoyannis et al., 1998]: #' [Koutsoyannis et al., 1998]:
#' \deqn{ G(x)= exp[-{ 1+\xi(x/\sigma(d)-\mu_t) }^(-1/\xi)] } #' \deqn{ GG(x)= \exp[-\left( 1+\xi(x/\sigma(d)-\mu_t) \right)^{-1/\xi}] }
#' with the duration dependent scale \eqn{\sigma(d)=\sigma_0/(d+\theta)^\eta} and #' with the duration dependent scale \eqn{\sigma(d)=\sigma_0/(d+\theta)^\eta} and
#' modified location parameter \eqn{\mu_t=\mu/\sigma(d)}. #' modified location parameter \eqn{\mu_t=\mu/\sigma(d)}.
#' #'
...@@ -169,7 +169,7 @@ qgev.d <- function(p,mut,sigma0,xi,theta,eta,d,...) { ...@@ -169,7 +169,7 @@ qgev.d <- function(p,mut,sigma0,xi,theta,eta,d,...) {
#' #'
#' @details The duration dependent GEV distribution is defined after #' @details The duration dependent GEV distribution is defined after
#' [Koutsoyannis et al., 1998]: #' [Koutsoyannis et al., 1998]:
#' \deqn{ G(x)= exp[-{ 1+\xi(x/\sigma(d)-\mu_t) }^(-1/\xi)] } #' \deqn{ G(x)= \exp[-\left( 1+\xi(x/\sigma(d)-\mu_t) \right)^{-1/\xi}] }
#' with the duration dependent scale \eqn{\sigma(d)=\sigma_0/(d+\theta)^\eta} and #' with the duration dependent scale \eqn{\sigma(d)=\sigma_0/(d+\theta)^\eta} and
#' modified location parameter \eqn{\mu_t=\mu/\sigma(d)}. #' modified location parameter \eqn{\mu_t=\mu/\sigma(d)}.
#' #'
......
...@@ -29,7 +29,7 @@ Density function of duration dependent GEV distribution ...@@ -29,7 +29,7 @@ Density function of duration dependent GEV distribution
\details{ \details{
The duration dependent GEV distribution is defined after The duration dependent GEV distribution is defined after
[Koutsoyannis et al., 1998]: [Koutsoyannis et al., 1998]:
\deqn{ G(x)= exp[-{ 1+\xi(x/\sigma(d)-\mu_t) }^(-1/\xi)] } \deqn{ G(x)= \exp[-\left( 1+\xi(x/\sigma(d)-\mu_t) \right)^{-1/\xi}] }
with the duration dependent scale \eqn{\sigma(d)=\sigma_0/(d+\theta)^\eta} and with the duration dependent scale \eqn{\sigma(d)=\sigma_0/(d+\theta)^\eta} and
modified location parameter \eqn{\mu_t=\mu/\sigma(d)}. modified location parameter \eqn{\mu_t=\mu/\sigma(d)}.
} }
......
...@@ -29,7 +29,7 @@ Distribution function of duration dependent GEV distribution ...@@ -29,7 +29,7 @@ Distribution function of duration dependent GEV distribution
\details{ \details{
The duration dependent GEV distribution is defined after The duration dependent GEV distribution is defined after
[Koutsoyannis et al., 1998]: [Koutsoyannis et al., 1998]:
\deqn{ G(x)= exp[-{ 1+\xi(x/\sigma(d)-\mu_t) }^(-1/\xi)] } \deqn{G(x)= \exp[-\left( 1+\xi(x/\sigma(d)-\mu_t) \right)^{-1/\xi}] }
with the duration dependent scale \eqn{\sigma(d)=\sigma_0/(d+\theta)^\eta} and with the duration dependent scale \eqn{\sigma(d)=\sigma_0/(d+\theta)^\eta} and
modified location parameter \eqn{\mu_t=\mu/\sigma(d)}. modified location parameter \eqn{\mu_t=\mu/\sigma(d)}.
} }
......
...@@ -29,7 +29,7 @@ Quantile function of duration dependent GEV distribution ...@@ -29,7 +29,7 @@ Quantile function of duration dependent GEV distribution
\details{ \details{
The duration dependent GEV distribution is defined after The duration dependent GEV distribution is defined after
[Koutsoyannis et al., 1998]: [Koutsoyannis et al., 1998]:
\deqn{ G(x)= exp[-{ 1+\xi(x/\sigma(d)-\mu_t) }^(-1/\xi)] } \deqn{ GG(x)= \exp[-\left( 1+\xi(x/\sigma(d)-\mu_t) \right)^{-1/\xi}] }
with the duration dependent scale \eqn{\sigma(d)=\sigma_0/(d+\theta)^\eta} and with the duration dependent scale \eqn{\sigma(d)=\sigma_0/(d+\theta)^\eta} and
modified location parameter \eqn{\mu_t=\mu/\sigma(d)}. modified location parameter \eqn{\mu_t=\mu/\sigma(d)}.
} }
......
...@@ -27,7 +27,7 @@ random generation of variables from duration dependent GEV distribution ...@@ -27,7 +27,7 @@ random generation of variables from duration dependent GEV distribution
\details{ \details{
The duration dependent GEV distribution is defined after The duration dependent GEV distribution is defined after
[Koutsoyannis et al., 1998]: [Koutsoyannis et al., 1998]:
\deqn{ G(x)= exp[-{ 1+\xi(x/\sigma(d)-\mu_t) }^(-1/\xi)] } \deqn{ G(x)= \exp[-\left( 1+\xi(x/\sigma(d)-\mu_t) \right)^{-1/\xi}] }
with the duration dependent scale \eqn{\sigma(d)=\sigma_0/(d+\theta)^\eta} and with the duration dependent scale \eqn{\sigma(d)=\sigma_0/(d+\theta)^\eta} and
modified location parameter \eqn{\mu_t=\mu/\sigma(d)}. modified location parameter \eqn{\mu_t=\mu/\sigma(d)}.
} }
......
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