Nothing
test_that("Gumbel distribution", {
dist <- dist_gumbel(1, 2)
expect_equal(format(dist), "Gumbel(1, 2)")
# Require package installed
skip_if_not_installed("actuar", "2.0.0")
# quantiles
expect_equal(quantile(dist, 0.1), actuar::qgumbel(0.1, 1, 2))
expect_equal(quantile(dist, 0.5), actuar::qgumbel(0.5, 1, 2))
# pdf
expect_equal(density(dist, 0), actuar::dgumbel(0, 1, 2))
expect_equal(density(dist, 3), actuar::dgumbel(3, 1, 2))
# cdf
expect_equal(cdf(dist, 0), actuar::pgumbel(0, 1, 2))
expect_equal(cdf(dist, 3), actuar::pgumbel(3, 1, 2))
# F(Finv(a)) ~= a
expect_equal(cdf(dist, quantile(dist, 0.4)), 0.4, tolerance = 1e-3)
# stats
expect_equal(mean(dist), actuar::mgumbel(1, 1, 2))
expect_equal(variance(dist), actuar::mgumbel(2, 1, 2) - actuar::mgumbel(1, 1, 2)^2)
})
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