Description Usage Arguments Value Examples
chf_NTS
calculates Ch.F of the NTS distribution with parameters (α, θ, β, γ, μ).
If a time parameter value is given, it calculates Ch.F of the NTS profess
φ(u)=E[\exp(i u (X(t+s)-X(s)) )]=\exp(t \log(E[\exp(i u X(1))])), where X is the NTS process generated
by the NTS distribution with parameters (α, θ, β, γ, μ).
1 | chf_NTS(u, param)
|
u |
An array of u |
ntsparam |
A vector of the NTS parameters (α, θ, β, γ, μ). For NTS process case it is a vector of parameters (α, θ, β, γ, μ, t). |
Characteristic function of the NTS distribution
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 | library("temStaR")
alpha <- 1.2
theta <- 1
beta <- -0.2
gamma <- 0.3
mu <- 0.1
ntsparam <- c(alpha, theta, beta, gamma, mu)
u <- seq(from = -2*pi, to = 2*pi, length.out = 101)
phi <- chf_NTS(u, ntsparam)
#Annual based parameters
alpha <- 1.2
theta <- 1
beta <- -0.2
gamma <- 0.3
mu <- 0.1
#scaling annual parameters to one day
dt <- 1/250 #one day
ntsparam <- c(alpha, theta, beta, gamma, mu, dt)
u <- seq(from = -2*pi, to = 2*pi, length.out = 101)
phi <- chf_NTS(u, ntsparam)
|
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.