diff --git a/src/UnitTests/StatisticsTests/CorrelationTests.cs b/src/UnitTests/StatisticsTests/CorrelationTests.cs
index b2da9c84..94aa7b67 100644
--- a/src/UnitTests/StatisticsTests/CorrelationTests.cs
+++ b/src/UnitTests/StatisticsTests/CorrelationTests.cs
@@ -104,6 +104,35 @@ namespace MathNet.Numerics.UnitTests.StatisticsTests
             AssertHelpers.AlmostEqual(corr, corr2, 14);
         }
 
+        /// <summary>
+        /// Constant-weighted Pearson correlation test.
+        /// </summary>
+        [Test]
+        public void WeightedPearsonCorrelationEqualsOneTest()
+        {
+            int n = 5;
+            double maxWeight = 1e5;
+            var dataA = Generate.LinearRange(1, n);
+            var dataB = Generate.LinearRange(1, n);
+            var weights1 = Generate.LinearRange(1, n);
+            var weights2 = Generate.LogSpaced(n, 1, 5);
+            var weights3 = Generate.LogSpaced(n, 5, 1);
+            var weights4 = Generate.Repeat(n, maxWeight);
+            var weights5 = Generate.Repeat(n, 1/maxWeight);
+
+            var corr1 = Correlation.WeightedPearson(dataA, dataB, weights1);
+            var corr2 = Correlation.WeightedPearson(dataA, dataB, weights2);
+            var corr3 = Correlation.WeightedPearson(dataA, dataB, weights3);
+            var corr4 = Correlation.WeightedPearson(dataA, dataB, weights4);
+            var corr5 = Correlation.WeightedPearson(dataA, dataB, weights5);
+
+            AssertHelpers.AlmostEqual(corr1, 1, 14);
+            AssertHelpers.AlmostEqual(corr2, 1, 14);
+            AssertHelpers.AlmostEqual(corr3, 1, 14);
+            AssertHelpers.AlmostEqual(corr4, 1, 14);
+            AssertHelpers.AlmostEqual(corr5, 1, 14);
+        }
+
         /// <summary>
         /// Pearson correlation test fail.
         /// </summary>