Fix mean, var and std of XTensorVariables

pytensor/xtensor/reduction.py

@@ -81,7 +81,7 @@ any = partial(bool_reduce, binary_op=ps.or_)
 def _infer_reduced_size(original_var, reduced_var):
     reduced_dims = reduced_var.dims
     return variadic_mul(
-        *[size for dim, size in original_var.sizes if dim not in reduced_dims]
+        *[size for dim, size in original_var.sizes.items() if dim not in reduced_dims]
     )
 
 
@@ -96,7 +96,7 @@ def var(x, dim: REDUCE_DIM, *, ddof: int = 0):
     x = as_xtensor(x)
     x_mean = mean(x, dim)
     n = _infer_reduced_size(x, x_mean)
-    return square(x - x_mean) / (n - ddof)
+    return square(x - x_mean).sum(dim) / (n - ddof)
 
 
 def std(x, dim: REDUCE_DIM, *, ddof: int = 0):

pytensor/xtensor/type.py

@@ -692,11 +692,11 @@ class XTensorVariable(Variable[_XTensorTypeType, OptionalApplyType]):
     def sum(self, dim=None):
         return px.reduction.sum(self, dim)
 
-    def std(self, dim=None):
-        return px.reduction.std(self, dim)
+    def std(self, dim=None, ddof=0):
+        return px.reduction.std(self, dim, ddof=ddof)
 
-    def var(self, dim=None):
-        return px.reduction.var(self, dim)
+    def var(self, dim=None, ddof=0):
+        return px.reduction.var(self, dim, ddof=ddof)
 
     def cumsum(self, dim=None):
         return px.reduction.cumsum(self, dim)

tests/xtensor/test_reduction.py

@@ -12,7 +12,8 @@ from tests.xtensor.util import xr_arange_like, xr_assert_allclose, xr_function
     "dim", [..., None, "a", ("c", "a")], ids=["Ellipsis", "None", "a", "(a, c)"]
 )
 @pytest.mark.parametrize(
-    "method", ["sum", "prod", "all", "any", "max", "min", "cumsum", "cumprod"][2:]
+    "method",
+    ["sum", "prod", "all", "any", "max", "min", "mean", "cumsum", "cumprod"],
 )
 def test_reduction(method, dim):
     x = xtensor("x", dims=("a", "b", "c"), shape=(3, 5, 7))
@@ -25,3 +26,29 @@ def test_reduction(method, dim):
         fn(x_test),
         getattr(x_test, method)(dim=dim),
     )
+
+
+@pytest.mark.parametrize(
+    "dim", [..., None, "a", ("c", "a")], ids=["Ellipsis", "None", "a", "(a, c)"]
+)
+@pytest.mark.parametrize("method", ["std", "var"])
+def test_std_var(method, dim):
+    x = xtensor("x", dims=("a", "b", "c"), shape=(3, 5, 7))
+    out = [
+        getattr(x, method)(dim=dim),
+        getattr(x, method)(dim=dim, ddof=2),
+    ]
+
+    fn = xr_function([x], out)
+    x_test = xr_arange_like(x)
+    results = fn(x_test)
+
+    xr_assert_allclose(
+        results[0],
+        getattr(x_test, method)(dim=dim),
+    )
+
+    xr_assert_allclose(
+        results[1],
+        getattr(x_test, method)(dim=dim, ddof=2),
+    )