tcplot: Threshold Choice Plot

In evd: Functions for Extreme Value Distributions

Threshold Choice Plot

Description

Plots of parameter estimates at various thresholds for peaks over threshold modelling, using the Generalized Pareto or Point Process representation.

Usage

tcplot(data, tlim, model = c("gpd","pp"), pscale = FALSE, cmax =
    FALSE, r = 1, ulow = -Inf, rlow = 1, nt = 25, which = 1:npar,
    conf = 0.95, lty = 1, lwd = 1, type = "b", cilty = 1, vci =
    TRUE, xlab, xlim, ylabs, ylims, ask = nb.fig < length(which) &&
    dev.interactive(), ...)

Arguments

data	A numeric vector.
tlim	A numeric vector of length two, giving the limits for the thresholds at which the model is fitted.
model	The model; either "gpd" (the default) or "pp", for the Generalized Pareto or Point Process representations respectively.
pscale	If TRUE, then the x-axis gives the threshold exceedance probability rather than the threshold itself.
cmax	Logical; if FALSE (the default), the models are fitted using all exceedences over the thresholds. If TRUE, the models are fitted using cluster maxima, using clusters of exceedences derived from clusters.
r, ulow, rlow	Arguments used for the identification of clusters of exceedences (see clusters). Ignored if cmax is FALSE (the default).
nt	The number of thresholds at which the model is fitted.
which	If a subset of the plots is required, specify a subset of the numbers 1:npar, where npar is the number of parameters, so that npar = 2 when model = "gpd" (the default) and npar = 3 when model = "pp".
conf	The (pointwise) confidence coefficient for the plotted confidence intervals. Use zero to suppress.
lty, lwd	The line type and width of the line connecting the parameter estimates.
type	The form taken by the line connecting the parameter estimates and the points denoting these estimates. Possible values include "b" (the default) for points joined by lines, "o" for overplotted points and lines, and "l" for an unbroken line with no points.
cilty	The line type of the lines depicting the confidence intervals.
vci	If TRUE (the default), confidence intervals are plotted using vertical lines.
xlab, xlim	Label and limits for the x-axis; if given, these arguments apply to every plot.
ylabs, ylims	A vector of y-axis labels and a matrix of y-axis limits. If given, ylabs should have the same length as which, and ylims should have two columns and length(which) rows. If the length of which is one, then ylims can be a vector of length two.
ask	Logical; if TRUE, the user is asked before each plot.
...	Other arguments to be passed to the model fit function fpot.

Details

For each of the nt thresholds a peaks over threshold model is fitted using the function fpot. When model = "gpd" (the default), the maximum likelihood estimates for the shape and the modified scale parameter (modified by subtracting the shape multiplied by the threshold) are plotted against the thresholds. When model = "pp" the maximum likelihood estimates for the location, scale and shape parameters are plotted against the thresholds. (The modified scale parameter in the "gpd" case is equivalent to the scale parameter in the "pp" case.) If the threshold u is a valid threshold to be used for peaks over threshold modelling, the parameter estimates depicted should be approximately constant above u.

Value

A list is invisibly returned. Each component is a matrix with three columns giving parameter estimates and confidence limits.

Author(s)

Stuart Coles and Alec Stephenson

See Also

fpot, mrlplot, clusters

Examples

tlim <- c(3.6, 4.2)
## Not run: tcplot(portpirie, tlim)
## Not run: tcplot(portpirie, tlim, nt = 100, lwd = 3, type = "l")
## Not run: tcplot(portpirie, tlim, model = "pp")

evd documentation built on Sept. 21, 2024, 9:06 a.m.