#######################################
####### gamlss.dist ########
####### Distribution tests 2 ########
### Beta negative binomial: BNB() ###
#######################################
## Context
testthat::context("BNB 2")
## Seed
set.seed(123)
## Family
fam <- BNB()
## Random Values
i <- 1
n <- 1e4
mu <- 1 + i
sigma <- 0.2 + i - 1.1
nu <- 1 + i
rvec <- rBNB(n, mu, sigma, nu)
## Empirical Moments
ex_emp <- mean(rvec)
vx_emp <- var(rvec)
## Theoretical moments
ex_theo <- fam$mean(mu, sigma, nu)
vx_theo <- fam$variance(mu, sigma, nu)
## Test here if they are about the same
expect_true(abs(ex_emp / ex_theo - 1) < 0.03) # converges for higher n so ok
expect_true(abs(vx_emp / vx_theo - 1) < 0.03)
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