diff --git a/src/pyrecest/distributions/nonperiodic/gaussian_distribution.py b/src/pyrecest/distributions/nonperiodic/gaussian_distribution.py
index f64225f67..448e10d1b 100644
--- a/src/pyrecest/distributions/nonperiodic/gaussian_distribution.py
+++ b/src/pyrecest/distributions/nonperiodic/gaussian_distribution.py
@@ -325,7 +325,7 @@ def multiply(self, other):
         new_mu = linalg.solve(new_precision, information_vector)
         new_C = linalg.solve(new_precision, identity)
         new_C = 0.5 * (new_C + transpose(new_C))
-        return GaussianDistribution(new_mu, new_C, check_validity=False)
+        return type(self)(new_mu, new_C, check_validity=False)
 
     def convolve(self, other):
         """Convolve two independent Gaussian distributions.
@@ -343,7 +343,7 @@ def convolve(self, other):
         _validate_same_dimension(self, other, "convolve")
         new_mu = self.mu + other.mu
         new_C = self.C + other.C
-        return GaussianDistribution(new_mu, new_C, check_validity=False)
+        return type(self)(new_mu, new_C, check_validity=False)
 
     def marginalize_out(self, dimensions):
         """Return the marginal distribution after dropping dimensions.
diff --git a/tests/distributions/test_gaussian_distribution_subclass_operations.py b/tests/distributions/test_gaussian_distribution_subclass_operations.py
new file mode 100644
index 000000000..25bc6cf31
--- /dev/null
+++ b/tests/distributions/test_gaussian_distribution_subclass_operations.py
@@ -0,0 +1,30 @@
+"""Regression tests for Gaussian subclass preservation."""
+
+import unittest
+
+from pyrecest.backend import array
+from pyrecest.distributions import GaussianDistribution
+
+
+class _DerivedGaussian(GaussianDistribution):
+    """Minimal derived Gaussian used to verify operation return types."""
+
+
+class TestGaussianDistributionSubclassOperations(unittest.TestCase):
+    def setUp(self):
+        self.derived = _DerivedGaussian(array([0.0]), array([[2.0]]))
+        self.other = GaussianDistribution(array([1.0]), array([[3.0]]))
+
+    def test_multiply_preserves_left_hand_subclass(self):
+        result = self.derived.multiply(self.other)
+
+        self.assertIsInstance(result, _DerivedGaussian)
+
+    def test_convolve_preserves_left_hand_subclass(self):
+        result = self.derived.convolve(self.other)
+
+        self.assertIsInstance(result, _DerivedGaussian)
+
+
+if __name__ == "__main__":
+    unittest.main()