R/Examples/example_cfN_Delaporte.R

In gajdosandrej/CharFunToolR: Numerical Computation Cumulative Distribution Function and Probability Density Function from Characteristic Function

## EXAMPLE1
# CF of the Delaporte distribution with a = 2.2, b = 3.3, c = 4
a <- 2.2
b <- 3.3
c <- 4
t <- seq(-15, 15, length.out = 1001)
plotReIm(function(t)
        cfN_Delaporte(t, a, b, c),
        t,
        title = "CF of the Delaporte distribution with a=2.2, b=3.3, c=4")

## EXAMPLE2
# CF of the compound Delaport-Exponential distribution)
a <- 2.2
b <- 3.3
c <- 4
lambda <- 10
cfX <- function(t)
        cfX_Exponential(t, lambda)
t <- seq(-10, 10, length.out = 501)
plotReIm(function(t)
        cfN_Delaporte(t, a, b, c, cfX),
        t,
        title = "CF of the compound Delaport-Exponential distribution")

## EXAMPLE3
# PDF/CDF of the compound Delaport-Exponential distribution
a <- 2.2
b <- 3.3
c <- 4
lambda <- 5
cfX <- function(t)
        cfX_Exponential(t, lambda)
cf <- function(t)
        cfN_Delaporte(t, a, b, c, cfX)
x <- seq(0, 4, length.out = 101)
prob <- c(0.9, 0.95, 0.99)
options <- list()
options$isCompound <- TRUE
result <- cf2DistGP(cf, x, prob, options)