diff --git a/rand_distr/src/normal.rs b/rand_distr/src/normal.rs
index ae82799147a..4ab0fbd1901 100644
--- a/rand_distr/src/normal.rs
+++ b/rand_distr/src/normal.rs
@@ -345,7 +345,8 @@ mod tests {
         assert_almost_eq!(lnorm.norm.std_dev, 1.0, 2e-16);
 
         let lnorm = LogNormal::from_mean_cv(e.powf(1.5), (e - 1.0).sqrt()).unwrap();
-        assert_eq!((lnorm.norm.mean, lnorm.norm.std_dev), (1.0, 1.0));
+        assert!((lnorm.norm.mean - 1.0).abs() < 1e-15);
+        assert_eq!(lnorm.norm.std_dev, 1.0);
     }
     #[test]
     fn test_log_normal_invalid_sd() {
diff --git a/rand_distr/src/pareto.rs b/rand_distr/src/pareto.rs
index 217899ed9a7..b4638d42699 100644
--- a/rand_distr/src/pareto.rs
+++ b/rand_distr/src/pareto.rs
@@ -113,10 +113,10 @@ mod tests {
         ) {
             let mut rng = crate::test::rng(213);
             let mut buf = [zero; 4];
-            for x in &mut buf {
-                *x = rng.sample(&distr);
+            for v in expected {
+                let x = rng.sample(&distr);
+                assert!((x - v).abs() < 1e-14);
             }
-            assert_eq!(buf, expected);
         }
 
         test_samples(Pareto::new(1.0, 1.0).unwrap(), 0f32, &[
diff --git a/rand_distr/tests/value_stability.rs b/rand_distr/tests/value_stability.rs
index 986b9963283..525663effc0 100644
--- a/rand_distr/tests/value_stability.rs
+++ b/rand_distr/tests/value_stability.rs
@@ -339,6 +339,6 @@ fn cauchy_stability() {
     let expected = [15.023088, -5.446413, 3.7092876, 3.112482];
     for &a in expected.iter() {
         let b = rng.sample(&distr);
-        assert!((a - b).abs() < 1e-6, "expected: {} = {}", a, b);
+        assert!((a - b).abs() < 1e-5, "expected: {} = {}", a, b);
     }
 }