diff --git a/tests/test_maps.py b/tests/test_maps.py
index 959c5bf..f57e666 100644
--- a/tests/test_maps.py
+++ b/tests/test_maps.py
@@ -54,6 +54,6 @@ def test_pointsource():
     pstd = pol.std(axis=-1)
     assert (pstd[:, 0] > 3.0).all()
     assert (pstd[:, 0] < 15.0).all()
-    assert (pol.std(axis=-1)[:, 1:3] > 0.01).all()
-    assert (pol.std(axis=-1)[:, 1:3] < 0.05).all()
-    assert (pol.std(axis=-1)[:, 3] == 0.0).all()
+    assert (pstd[:, 1:3] > 0.005).all()
+    assert (pstd[:, 1:3] < 0.015).all()
+    assert (pstd[:, 3] == 0.0).all()
diff --git a/tests/test_poisson.py b/tests/test_poisson.py
new file mode 100644
index 0000000..f4b40d7
--- /dev/null
+++ b/tests/test_poisson.py
@@ -0,0 +1,25 @@
+"""Test caput.foreground.poisson"""
+
+import numpy as np
+
+from cora.foreground.poisson import inhomogeneous_process_approx
+
+def test_inhomogeneous_process_approx():
+    """Test inhomogeneous_process_approx"""
+
+    # the most boringest rate function
+    rate = lambda s: 1000 * (5 - s)
+
+
+    
+    result = inhomogeneous_process_approx(5, rate)
+
+    # Mean should be approximately 1.666
+    mean = result.mean()
+    assert mean > 1.6
+    assert mean < 1.75
+
+    # stdev should be approximately 1.2
+    stdev = result.std()
+    assert stdev > 1.1
+    assert stdev < 1.3