diff --git a/thoi/measures/gaussian_copula.py b/thoi/measures/gaussian_copula.py
index a71b503..bffe84d 100644
--- a/thoi/measures/gaussian_copula.py
+++ b/thoi/measures/gaussian_copula.py
@@ -1,13 +1,16 @@
 from typing import Optional, Callable
 
 from tqdm.autonotebook import tqdm
+from functools import partial
 
+import pandas as pd
 import scipy as sp
 import numpy as np
 import torch
 from torch.utils.data import DataLoader
 
 from ..dataset import CovarianceDataset
+from ..collectors import batch_to_csv
 
 
 def gaussianCopula(X):
@@ -142,14 +145,14 @@ def multi_order_measures(X: np.ndarray,
         pd.DataFrame: DataFrame containing computed metrics.
     """
 
+    T, N = X.shape
+    max_order = N if max_order is None else max_order
+
     if batch_aggregation is None:
-        batch_aggregation = lambda X: [x for x in X if x is not None]
+        batch_aggregation = pd.concat
 
     if batch_data_collector is None:
-        batch_data_collector = lambda *args: args
-
-    T, N = X.shape
-    max_order = N if max_order is None else max_order
+        batch_data_collector = partial(batch_to_csv, N=N)
 
     assert max_order <= N, f"max_order must be lower or equal than N. {max_order} > {N})"
     assert min_order <= max_order, f"min_order must be lower or equal than max_order. {min_order} > {max_order}"