Nothing
test_that("Pareto distribution", {
dist <- dist_pareto(10, 1)
expect_equal(format(dist), "Pareto(10, 1)")
# Require package installed
skip_if_not_installed("actuar", "2.0.0")
# quantiles
expect_equal(quantile(dist, 0.1), actuar::qpareto(0.1, 10, 1))
expect_equal(quantile(dist, 0.5), actuar::qpareto(0.5, 10, 1))
# pdf
expect_equal(density(dist, 0), actuar::dpareto(0, 10, 1))
expect_equal(density(dist, 3), actuar::dpareto(3, 10, 1))
# cdf
expect_equal(cdf(dist, 0), actuar::ppareto(0, 10, 1))
expect_equal(cdf(dist, 3), actuar::ppareto(3, 10, 1))
# F(Finv(a)) ~= a
expect_equal(cdf(dist, quantile(dist, 0.4)), 0.4, tolerance = 1e-3)
# stats
expect_equal(mean(dist), actuar::mpareto(1, 10, 1))
expect_equal(variance(dist), actuar::mpareto(2, 10, 1) - actuar::mpareto(1, 10, 1)^2)
})
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