.rPdir

Note: we generate from the Dirichlet rather than the Gamma distribution, since the former is parallelized

internal

Various tools for the analysis of univariate, multivariate and functional extremes. Exact simulation from max-stable processes [Dombry, Engelke and Oesting (2016) <doi:10.1093/biomet/asw008>, R-Pareto processes for various parametric models, including Brown-Resnick (Wadsworth and Tawn, 2014, <doi:10.1093/biomet/ast042>) and Extremal Student (Thibaud and Opitz, 2015, <doi:10.1093/biomet/asv045>). Threshold selection methods, including Wadsworth (2016) <doi:10.1080/00401706.2014.998345>, and Northrop and Coleman (2014) <doi:10.1007/s10687-014-0183-z>. Multivariate extreme diagnostics. Estimation and likelihoods for univariate extremes, e.g., Coles (2001) <doi:10.1007/978-1-4471-3675-0>.

Leo Belzile

Modelling of Extreme Values

Jennifer L. Wadsworth

Paul J. Northrop

Scott D. Grimshaw

Jin Zhang

Michael A. Stephens

Art B. Owen

Raphael Huser

.rPdir function

<dl><dt>d</dt>
<dd>dimension of the 1-sample</dd>
<dt>index</dt>
<dd>index of the location. An integer in 0, ..., \(d-1\)</dd>
<dt>alpha</dt>
<dd>a \(d\) dimensional vector of positive parameter values for the Dirichlet vector, or
\(d+1\) if the last entry is the index of regular variation of the model, a constant in <code>(0, 1]</code></dd>
<dt>irv</dt>
<dd>should the usual model (<code>FALSE</code>) or the general scaled version (<code>TRUE</code>) be used</dd></dl>

Arguments

Generate from extremal Dirichlet \(Y \sim {P_x}\), where
\(P_{x}\) is the probability of extremal functions from the Dirichlet model of
Coles and Tawn. — .rPdir

<dl>

<dt>d</dt>
<dd>dimension of the 1-sample</dd>


<dt>index</dt>
<dd>index of the location. An integer in 0, ..., \(d-1\)</dd>


<dt>alpha</dt>
<dd>a \(d\) dimensional vector of positive parameter values for the Dirichlet vector, or
\(d+1\) if the last entry is the index of regular variation of the model, a constant in <code>(0, 1]</code></dd>


<dt>irv</dt>
<dd>should the usual model (<code>FALSE</code>) or the general scaled version (<code>TRUE</code>) be used</dd>

</dl>

Generate from extremal Dirichlet \(Y \sim {P_x}\), where
\(P_{x}\) is the probability of extremal functions from the Dirichlet model of
Coles and Tawn.

.rPdir: Generate from extremal Dirichlet \(Y \sim {P_x}\), where \(P_{x}\) is the probability of extremal functions from the Dirichlet model of Coles and Tawn.

Description

Usage

Value

Arguments