diff --git a/CHANGELOG.md b/CHANGELOG.md
index 061cf3e..f111236 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,3 +1,9 @@
+## 0.7.5 (2025-07-04)
+
+### Fix
+
+- rename U_stats_loop to u_stats_loop for consistency
+
 ## 0.7.4 (2025-07-04)
 
 ### Fix
diff --git a/README.md b/README.md
index ee1e014..b14a4d2 100644
--- a/README.md
+++ b/README.md
@@ -231,7 +231,7 @@ Class-based interface for V-statistics computation with advanced features.
 
 **Parameters and Methods:** Same as `UStats`
 
-#### `U_stats_loop(expression)`
+#### `u_stats_loop(tensors, expression)`
 Reference implementation using explicit loops (for validation and small computations).
 
 **Note:** This class is primarily for testing and educational purposes. Use `UStats` for production code.
diff --git a/pyproject.toml b/pyproject.toml
index 2cdafc1..de7d679 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -4,7 +4,7 @@ build-backend = "setuptools.build_meta"
 
 [project]
 name = "u-stats"
-version = "0.7.4"
+version = "0.7.5"
 authors = [
     {name = "Ruiqi Zhang", email = "zrq1706@outlook.com"}
 ]
@@ -106,7 +106,7 @@ ignore_missing_imports = true
 name = "cz_conventional_commits"
 tag_format = "$version"
 version_scheme = "semver"
-version = "0.7.4"
+version = "0.7.5"
 version_files = [
     "pyproject.toml:version",
     "src/u_stats/__init__.py:__version__",
diff --git a/src/u_stats/__init__.py b/src/u_stats/__init__.py
index 480eea4..b0fe9b0 100644
--- a/src/u_stats/__init__.py
+++ b/src/u_stats/__init__.py
@@ -25,7 +25,7 @@
 """
 
 __title__ = "u_stats"
-__version__ = "0.7.4"
+__version__ = "0.7.5"
 __description__ = "A Python package for efficient computation of U-statistics via tensor contraction."  # noqa: E501
 __author__ = "Zhang Ruiqi"
 __author_email__ = "zrq1706@outlook.com"
@@ -40,7 +40,7 @@
     "set_backend",
     "get_backend",
 ]
-from .statistics import UStats, VStats, U_stats_loop
+from .statistics import UStats, VStats, u_stats_loop
 from ._utils import set_backend, Backend, get_backend
 from typing import List, Tuple
 from ._utils import Inputs, Outputs
diff --git a/src/u_stats/statistics/ustats.py b/src/u_stats/statistics/ustats.py
index 8b2f6cf..58cabd9 100644
--- a/src/u_stats/statistics/ustats.py
+++ b/src/u_stats/statistics/ustats.py
@@ -42,7 +42,7 @@
 
 __all__ = [
     "UStats",
-    "U_stats_loop",
+    "u_stats_loop",
 ]
 
 
@@ -455,7 +455,7 @@ def complexity(
         return info.scaling, info.flops, info.largest_intermediate
 
 
-def U_stats_loop(tensors: List[np.ndarray], expression: List[List[int]] | str) -> float:
+def u_stats_loop(tensors: List[np.ndarray], expression: List[List[int]] | str) -> float:
     """
     Compute U-statistics using explicit loops (reference implementation).