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..0c62383b1cb 100644
--- a/rand_distr/src/pareto.rs
+++ b/rand_distr/src/pareto.rs
@@ -87,6 +87,7 @@ where F: Float, OpenClosed01: Distribution<F>
 #[cfg(test)]
 mod tests {
     use super::*;
+    use core::fmt::{Debug, Display};
 
     #[test]
     #[should_panic]
@@ -108,21 +109,20 @@ mod tests {
 
     #[test]
     fn value_stability() {
-        fn test_samples<F: Float + core::fmt::Debug, D: Distribution<F>>(
-            distr: D, zero: F, expected: &[F],
+        fn test_samples<F: Float + Debug + Display, D: Distribution<F>>(
+            distr: D, thresh: F, expected: &[F],
         ) {
             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() < thresh, "not approx eq: {}, {}", x, *v);
             }
-            assert_eq!(buf, expected);
         }
 
-        test_samples(Pareto::new(1.0, 1.0).unwrap(), 0f32, &[
+        test_samples(Pareto::new(1f32, 1.0).unwrap(), 1e-6, &[
             1.0423688, 2.1235929, 4.132709, 1.4679428,
         ]);
-        test_samples(Pareto::new(2.0, 0.5).unwrap(), 0f64, &[
+        test_samples(Pareto::new(2.0, 0.5).unwrap(), 1e-14, &[
             9.019295276219136,
             4.3097126018270595,
             6.837815045397157,
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);
     }
 }