angdensity | R Documentation |
This function computes empirical-likelihood based estimators for the angular distribution function of a bivariate extreme value distribution.
angdensity(Y, tau = 0.95, nu, grid = seq(0.01, 0.99, length = 2^8), method = "euclidean", raw = TRUE)
Y |
data frame with two columns from which the estimate is to be computed. |
tau |
value used to threshold the data; by default it is set as the 0.95 quantile of the pseudo-radius. |
nu |
concentration parameter of beta distribution which controls the amount of smoothing. |
grid |
grid with coordinates of the points where the angular
density is estimated; by default |
method |
a character string setting the method to be used. By
default |
raw |
logical; if |
The smooth angular density was introduced in by de Carvalho et al
(2013). method = "euclidean"
implements the version of the
method based on Euclidean likelihood weights, whereas method =
"empirical"
uses Empirical likelihood weights.
h |
the estimate angular density values. |
grid |
grid with coordinates of the points where the angular density is estimated. |
w |
pseudo-angles. |
nu |
concentration parameter of the Beta-kernel. |
Y |
raw data. |
The plot
method depicts the smooth angular density.
Miguel de Carvalho
de Carvalho, M., Oumow, B., Segers, J. and Warchol, M. (2013) A Euclidean likelihood estimator for bivariate tail dependence. Communications in Statistics—Theory and Methods, 42, 1176–1192.
## de Carvalho et al (2013, Fig. 7) data(beatenberg) attach(beatenberg) fit <- angdensity(beatenberg, tau = 0.98, nu = 163, raw = FALSE) plot(fit) rug(fit$w)
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.