#########################################
####### gamlss.dist ##########
####### Distribution tests 2 ##########
##### Skew Student t type 4: ST4() ######
#########################################
## Context
testthat::context("ST4 2")
## Seed
set.seed(241)
## Family
fam <- ST4()
## Random Values
i <- 1
n <- 1e6
mu <- 0 + i
sigma <- 1 + i
nu <- 10 + i
tau <- 10 + i
rvec <- rST4(n, mu, sigma, nu, tau)
## Empirical Moments
ex_emp <- mean(rvec)
vx_emp <- var(rvec)
## Theoretical moments
ex_theo <- fam$mean(mu, sigma, nu, tau)
vx_theo <- fam$variance(mu, sigma, nu, tau)
## Test here if they are about the same
expect_true(abs(ex_emp - ex_theo) < 0.02)
expect_true(abs(vx_emp - vx_theo) < 0.02)
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