diff --git a/src/gluonts/mx/model/deepvar/_estimator.py b/src/gluonts/mx/model/deepvar/_estimator.py
index 9881aa5df9..9a95ab0c9a 100644
--- a/src/gluonts/mx/model/deepvar/_estimator.py
+++ b/src/gluonts/mx/model/deepvar/_estimator.py
@@ -91,10 +91,12 @@ def __call__(self, index: pd.PeriodIndex) -> np.ndarray:
 def time_features_from_frequency_str(freq_str: str) -> List[TimeFeature]:
     features = {
         "M": ["weekofyear"],
+        "ME": ["weekofyear"],
         "W": ["daysinmonth", "weekofyear"],
         "D": ["dayofweek"],
         "B": ["dayofweek", "dayofyear"],
         "H": ["hour", "dayofweek"],
+        "h": ["hour", "dayofweek"],
         "min": ["minute", "hour", "dayofweek"],
         "T": ["minute", "hour", "dayofweek"],
     }
@@ -114,13 +116,13 @@ def get_lags_for_frequency(
 ) -> List[int]:
     offset = to_offset(freq_str)
 
-    if offset.name == "M":
+    if offset.name in ["M", "ME"]:
         lags = [[1, 12]]
     elif offset.name == "D":
         lags = [[1, 7, 14]]
     elif offset.name == "B":
         lags = [[1, 2]]
-    elif offset.name == "H":
+    elif offset.name in ["H", "h"]:
         lags = [[1, 24, 168]]
     elif offset.name in ("min", "T"):
         lags = [[1, 4, 12, 24, 48]]