Keywords - Function groups - @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Library: VaR
See also: VaRcharfDG VaRcdfDG

Quantlet: VaRcharfDGF2
Description: computes the Fourier transform of an approximating Gaussian cumulative distribution function (CDF) for the class of quadratic forms of Gaussian vectors.

Usage: r = VaRcharfDGF2(t,l)
Input:
t the complex argument of the transformed function
l a list defining the distribution; contains at least the following components: theta - the constant term delta - the linear term lambda - the diagonal of the quadratic term
Output:
r the (complex) value of the Fourier inversion at t

Note:

Example:
library("VaR")
theta = 0
delta = #(1)
lambda = #(1)
par = list(theta,delta,lambda)
VaRcharfDGF2(complex(#(-1,0,1),#(0,0,0)),par)

Result:
Contents of r.re
[1,]  0.13333
[2,]        0
[3,]  0.13333

Contents of r.im
[1,] -0.23369
[2,]        0
[3,]  0.23369



Author: S. Jaschke, 20011026 license MD*Tech
(C) MD*TECH Method and Data Technologies, 05.02.2006