#######################################
####### gamlss.dist ########
####### Distribution tests ########
####### Weibull: WEI() ########
#######################################
## Context
testthat::context("WEI")
## Seed
set.seed(222)
## Family
fam <- WEI()
## Random Values
mu <- 1
sigma <- 1
n <- 1e6 # default is 1e6, smaller sample if loading takes too long
rvec <- rWEI(n, mu, sigma)
## Empirical Moments
ex_emp <- round(mean(rvec), 3)
vx_emp <- round(var(rvec), 3)
## Theoretical moments
ex_theo <- round(fam$mean(mu, sigma),3)
vx_theo <- round(fam$variance(mu, sigma),3)
## Test here
dev = ifelse(n >= 1e6, 0.02, ifelse(n >= 1e5, 0.035, 0.05)) # larger deviation possible, if sample smaller
expect_true(abs(ex_emp - ex_theo) < dev)
expect_true(abs(vx_emp - vx_theo) < dev)
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