diff --git a/src/rolch/abc.py b/src/rolch/abc.py
index d36b60f..84f018c 100644
--- a/src/rolch/abc.py
+++ b/src/rolch/abc.py
@@ -24,6 +24,18 @@ def derivative(self, x: np.ndarray) -> np.ndarray:
 
 class Distribution(ABC):
 
+    self.links: Dict[int, Linkfunction] | List[Linkfunction]
+    self._param_structure: Dict[int, str]
+
+    def _check_links(self):
+        for p in range(self.n_params):
+            if self.param_structure[p] not in self.links[p]._valid_structures:
+                raise ValueError(
+                    f"Link function does not match parameter structure for parameter {p}. \n"
+                    f"Parameter structure is {self.param_structure[p]}. \n"
+                    f"Link function supports {self.links[p]._valid_structures}"
+                )
+
     @abstractmethod
     def theta_to_params(self, theta: np.ndarray) -> Tuple:
         """Take the fitted values and return tuple of vectors for distribution parameters."""
diff --git a/src/rolch/distributions/johnsonsu.py b/src/rolch/distributions/johnsonsu.py
index 26644a8..371c7a1 100644
--- a/src/rolch/distributions/johnsonsu.py
+++ b/src/rolch/distributions/johnsonsu.py
@@ -34,6 +34,8 @@ def __init__(
             self.shape_link,  # skew
             self.tail_link,  # tail
         ]
+        self._param_structure = {0: "vector", 1: "vector", 2: "vector", 3: "vector"}
+        self._check_links()
 
     def theta_to_params(self, theta):
         mu = theta[:, 0]
diff --git a/src/rolch/distributions/normal.py b/src/rolch/distributions/normal.py
index 2ebe6f5..d7e55a0 100644
--- a/src/rolch/distributions/normal.py
+++ b/src/rolch/distributions/normal.py
@@ -13,6 +13,8 @@ def __init__(self, loc_link=IdentityLink(), scale_link=LogLink()):
         self.loc_link = loc_link
         self.scale_link = scale_link
         self.links = [self.loc_link, self.scale_link]
+        self._param_structure = {0: "vector", 1: "vector", 2}
+        self._check_links()
 
     def theta_to_params(self, theta):
         mu = theta[:, 0]
diff --git a/src/rolch/distributions/studentt.py b/src/rolch/distributions/studentt.py
index d54a012..c48a0d5 100644
--- a/src/rolch/distributions/studentt.py
+++ b/src/rolch/distributions/studentt.py
@@ -17,6 +17,9 @@ def __init__(
         self.scale_link = scale_link
         self.tail_link = tail_link
         self.links = [self.loc_link, self.scale_link, self.tail_link]
+        self._param_structure = {0: "vector", 1: "vector", 2, 3: "vector"}
+        self._check_links()
+
 
     def theta_to_params(self, theta):
         mu = theta[:, 0]