diff --git a/model/src/test/test_distributional_rv.py b/model/src/test/test_distributional_rv.py
new file mode 100644
index 00000000..66cb263c
--- /dev/null
+++ b/model/src/test/test_distributional_rv.py
@@ -0,0 +1,107 @@
+"""
+Tests for the distributional RV classes
+"""
+import jax.numpy as jnp
+import numpyro
+import numpyro.distributions as dist
+import pytest
+from numpy.testing import assert_array_equal
+from pyrenew.metaclass import (
+    DistributionalRV,
+    DynamicDistributionalRV,
+    StaticDistributionalRV,
+)
+
+
+class NonCallableTestClass:
+    """
+    Generic non-callable object to test
+    callable checking for DynamicDistributionalRV.
+    """
+
+    def __init__(self):
+        """
+        Initialization method for generic non-callable
+        object
+        """
+        pass
+
+
+@pytest.mark.parametrize("not_a_dist", [1, "test", NonCallableTestClass()])
+def test_invalid_constructor_args(not_a_dist):
+    """
+    Test that the constructor errors
+    appropriately when given incorrect input
+    """
+
+    with pytest.raises(
+        ValueError, match="distribution argument to DistributionalRV"
+    ):
+        DistributionalRV(name="this should fail", distribution=not_a_dist)
+    with pytest.raises(
+        ValueError,
+        match=(
+            "distribution should be an instance of "
+            "numpyro.distributions.Distribution"
+        ),
+    ):
+        StaticDistributionalRV.validate(not_a_dist)
+    with pytest.raises(ValueError, match="must provide a Callable"):
+        DynamicDistributionalRV.validate(not_a_dist)
+
+
+@pytest.mark.parametrize(
+    ["valid_static_dist_arg", "valid_dynamic_dist_arg"],
+    [
+        [dist.Normal(0, 1), dist.Normal],
+        [dist.Cauchy(3.0, 5.0), dist.Cauchy],
+        [dist.Poisson(0.25), dist.Poisson],
+    ],
+)
+def test_factory_triage(valid_static_dist_arg, valid_dynamic_dist_arg):
+    """
+    Test that passing a numpyro.distributions.Distribution
+    instance to the DistributionalRV factory instaniates
+    a StaticDistributionalRV, while passing a callable
+    instaniates a DynamicDistributionalRV
+    """
+    static = DistributionalRV(
+        name="test static", distribution=valid_static_dist_arg
+    )
+    assert isinstance(static, StaticDistributionalRV)
+    dynamic = DistributionalRV(
+        name="test dynamic", distribution=valid_dynamic_dist_arg
+    )
+    assert isinstance(dynamic, DynamicDistributionalRV)
+
+
+@pytest.mark.parametrize(
+    ["dist", "params"],
+    [
+        [dist.Normal, {"loc": 0.0, "scale": 0.5}],
+        [dist.Poisson, {"rate": 0.35265}],
+        [
+            dist.Cauchy,
+            {
+                "loc": jnp.array([1.0, 5.0, -0.25]),
+                "scale": jnp.array([0.02, 0.15, 2]),
+            },
+        ],
+    ],
+)
+def test_sampling_equivalent(dist, params):
+    """
+    Test that sampling a DynamicDistributionalRV
+    with a given parameterization is equivalent to
+    sampling a StaticDistributionalRV with the
+    same parameterization and the same random seed
+    """
+    static = DistributionalRV(name="static", distribution=dist(**params))
+    dynamic = DistributionalRV(name="dynamic", distribution=dist)
+    assert isinstance(static, StaticDistributionalRV)
+    assert isinstance(dynamic, DynamicDistributionalRV)
+    with numpyro.handlers.seed(rng_seed=5):
+        static_samp, *_ = static()
+    with numpyro.handlers.seed(rng_seed=5):
+        dynamic_samp, *_ = dynamic(**params)
+    assert_array_equal(static_samp.value, dynamic_samp.value)