###########################################
######## gamlss.dist ###########
######## Distribution tests 2 ###########
## Skew Exponential Power type 3: SEP3() ##
###########################################
## Context
testthat::context("SEP3 2")
## Seed
set.seed(257)
## Family
fam <- SEP3()
## Random Values
i <- 1
n <- 1e6
mu <- 0 + i
sigma <- 1 + i
nu <- 2 + i
tau <- 2 + i
rvec <- rSEP3(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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