The non-stationary Metastatistical Extreme Value Distribution

Quantile function for the TMEV distribution with a Weibull parent distribution.

Usage

dtmev(x, data)

ptmev(q, data)

qtmev(p, data)

Arguments

x, q

Numeric vector or single value of probabilities for dtmev.

data

A data frame with at least columns c, w and year. Can be taken from the output of the fitted TMEV object, i.e. x$data (see ftmev).

p

Numeric vector or single value of probabilities for qtmev.

Value

dtmev gives the density function, ptmev gives the distribution function, and qtmev gives the quantile function of the TMEV.

Functions

• ptmev(): distribution quantile function

• qtmev(): distribution quantile function

Examples

data(dailyrainfall)
fit <- ftmev(dailyrainfall)
rp <- pp.weibull(fit$maxima)
rl <- qtmev(1 - 1 / rp, fit$data)
plot(rp, sort(fit$maxima), main = "TMEV", ylab = "return level", xlab = "return period (years)")
lines(rp, rl, type = "l")