# dgev.d: d-GEV probability density function In IDF: Estimation and Plotting of IDF Curves

 dgev.d R Documentation

## d-GEV probability density function

### Description

Probability density function of duration-dependent GEV distribution

### Usage

dgev.d(q, mut, sigma0, xi, theta, eta, d, eta2 = 0, tau = 0, ...)


### Arguments

 q vector of quantiles mut, sigma0, xi numeric value, giving modified location \tilde{μ}, scale offset σ_0 and shape parameter ξ. theta numeric value, giving duration offset θ (defining curvature of the IDF curve) eta numeric value, giving duration exponent η (defining slope of the IDF curve) d positive numeric value, giving duration eta2 numeric value, giving a second duration exponent η_{2} (needed for multiscaling). Default: η_2=0. tau numeric value, giving intensity offset τ (defining flattening of the IDF curve). Default: τ=0. ... additional parameters passed to dgev

### Details

For details on the d-GEV and the parameter definitions, see IDF-package.

### Value

list containing vectors of density values for given quantiles. The first element of the list are the density values for the first given duration etc.

pgev.d, qgev.d, rgev.d

### Examples

x <- seq(4,20,0.1)
# calculate probability density for one duration
dgev.d(q=x,mut=4,sigma0=2,xi=0,theta=0.1,eta=0.1,d=1)

# calculate probability density for different durations
ds <- 1:4
dens <- lapply(ds,dgev.d,q=x,mut=4,sigma0=2,xi=0,theta=0.1,eta=0.1)

plot(x,dens[[1]],type='l',ylim = c(0,0.21),ylab = 'Probability Density')
for(i in 2:4){
lines(x,dens[[i]],lty=i)
}
legend('topright',title = 'Duration',legend = 1:4,lty=1:4)


IDF documentation built on March 18, 2022, 7:44 p.m.