Nothing
test_that("Cauchy distribution", {
dist <- dist_cauchy(-2, 1)
expect_equal(format(dist), "Cauchy(-2, 1)")
# quantiles
expect_equal(quantile(dist, 0.1), stats::qcauchy(0.1, -2, 1))
expect_equal(quantile(dist, 0.5), stats::qcauchy(0.5, -2, 1))
# pdf
expect_equal(density(dist, 0), stats::dcauchy(0, -2, 1))
expect_equal(density(dist, 3), stats::dcauchy(3, -2, 1))
# cdf
expect_equal(cdf(dist, 0), stats::pcauchy(0, -2, 1))
expect_equal(cdf(dist, 3), stats::pcauchy(3, -2, 1))
# F(Finv(a)) ~= a
expect_equal(cdf(dist, quantile(dist, 0.4246)), 0.4246, tolerance = 1e-3)
# stats
expect_equal(mean(dist), NA_real_)
expect_equal(variance(dist), NA_real_)
})
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