Description Usage Arguments Value Examples
qnts
calculates quantile of the NTS distribution with parameters (α, θ, β, γ, μ).
If only three parameters are given, it calculates quantile of the standard NTS distribution with parameter (α, θ, β)
If a time parameter value is given, it calculates quantile of NTS profess. That is it finds x such that
u = P((X(t+s)-X(s))<x), where X is the NTS process generated
by the NTS distribution with parameters (α, θ, β, γ, μ).
1 | qnts(u, ntsparam)
|
u |
vector of probabilities. |
ntsparam |
A vector of the NTS parameters (α, θ, β, γ, μ). For the NTS process case it is a vector of parameters (α, θ, β, γ, μ, t). A vector of standard NTS parameters (α, θ, β). |
The quantile 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 23 24 25 26 27 28 29 30 | library("temStaR")
alpha <- 1.2
theta <- 1
beta <- -0.2
ntsparam <- c(alpha, theta, beta)
u <- c(0.01,0.05,0.25,0.5, 0.75, 0.95, 0.99)
q <- qnts(u, ntsparam)
alpha <- 1.2
theta <- 1
beta <- -0.2
gamma <- 0.3
mu <- 0.1
ntsparam <- c(alpha, theta, beta, gamma, mu)
u <- c(0.01,0.05,0.25,0.5, 0.75, 0.95, 0.99)
q <- qnts(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 <- c(0.01,0.05,0.25,0.5, 0.75, 0.95, 0.99)
q <- qnts(u, ntsparam)
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