diff --git a/spec/API_specification/dataframe_api/column_object.py b/spec/API_specification/dataframe_api/column_object.py
index b325bef6..11b96ef2 100644
--- a/spec/API_specification/dataframe_api/column_object.py
+++ b/spec/API_specification/dataframe_api/column_object.py
@@ -525,6 +525,32 @@ def var(self, *, correction: int | float = 1, skip_nulls: bool = True) -> Scalar
             Whether to skip null values.
         """
 
+    def cumulative_max(self) -> Column:
+        """
+        Reduction returns a Column. Any data type that supports comparisons
+        must be supported. The returned value has the same dtype as the column.
+        """
+
+    def cumulative_min(self) -> Column:
+        """
+        Reduction returns a Column. Any data type that supports comparisons
+        must be supported. The returned value has the same dtype as the column.
+        """
+
+    def cumulative_sum(self) -> Column:
+        """
+        Reduction returns a Column. Must be supported for numerical and
+        datetime data types. The returned value has the same dtype as the
+        column.
+        """
+
+    def cumulative_prod(self) -> Column:
+        """
+        Reduction returns a Column. Must be supported for numerical and
+        datetime data types. The returned value has the same dtype as the
+        column.
+        """
+
     def is_null(self) -> Column:
         """
         Check for 'missing' or 'null' entries.