diff --git a/tests/covobs_test.py b/tests/covobs_test.py
index bfb21dbf..6f0e47f1 100644
--- a/tests/covobs_test.py
+++ b/tests/covobs_test.py
@@ -70,3 +70,23 @@ def test_covobs_name_collision():
 def test_covobs_replica_separator():
     with pytest.raises(Exception):
         covobs = pe.cov_Obs(0.5, 0.002, 'test|r2')
+
+
+def test_covobs_init():
+    covobs = pe.cov_Obs(0.5, 0.002, 'test')
+    covobs = pe.cov_Obs([1, 2], [0.1, 0.2], 'test')
+    covobs = pe.cov_Obs([1, 2], np.array([0.1, 0.2]), 'test')
+    covobs = pe.cov_Obs([1, 2], [[0.1, 0.2], [0.1, 0.2]], 'test')
+    covobs = pe.cov_Obs([1, 2], np.array([[0.1, 0.2], [0.1, 0.2]]), 'test')
+
+
+
+def test_covobs_exceptions():
+    with pytest.raises(Exception):
+        covobs = pe.cov_Obs(0.1, [[0.1, 0.2], [0.1, 0.2]], 'test')
+    with pytest.raises(Exception):
+        covobs = pe.cov_Obs(0.1, np.array([[0.1, 0.2], [0.1, 0.2]]), 'test')
+    with pytest.raises(Exception):
+        covobs = pe.cov_Obs([0.5, 0.1], np.array([[2, 1, 3], [1, 2, 3]]), 'test')
+    with pytest.raises(Exception):
+        covobs = pe.cov_Obs([0.5, 0.1], np.random.random((2, 2, 2)), 'test')