diff --git a/examples/simple_usa_statelevel/simple_usa_statelevel.yml b/examples/simple_usa_statelevel/simple_usa_statelevel.yml
index 1b536d7c3..e3eddea60 100644
--- a/examples/simple_usa_statelevel/simple_usa_statelevel.yml
+++ b/examples/simple_usa_statelevel/simple_usa_statelevel.yml
@@ -53,17 +53,36 @@ seir_modifiers:
       period_start_date: 2023-11-01
       period_end_date: 2024-02-01
       subpop: "all"
-      value: 
-        distribution: uniform
-        low: 1
-        high: 1.4
+      value:
+        distribution: truncnorm
+        mean: 1.3
+        sd: 0.4
+        a: 0.2
+        b: 3
+      perturbation:
+        distribution: truncnorm
+        mean: 0
+        sd: 0.025
+        a: -1
+        b: 1
     Ro_sunny:
       method: SinglePeriodModifier
       parameter: Ro
       period_start_date: 2024-02-01
       period_end_date: 2024-04-01
       subpop: "all"
-      value: 1.3
+      value:
+        distribution: truncnorm
+        mean: 1.3
+        sd: 0.4
+        a: 0.1
+        b: 10
+      perturbation:
+        distribution: truncnorm
+        mean: 0
+        sd: 0.025
+        a: -1
+        b: 1
     Ro_all:
       method: StackedModifier
       modifiers: ["Ro_season","Ro_sunny"]
diff --git a/flepimop/gempyor_pkg/src/gempyor/inference.py b/flepimop/gempyor_pkg/src/gempyor/inference.py
index 7f36dd087..eff6ba554 100644
--- a/flepimop/gempyor_pkg/src/gempyor/inference.py
+++ b/flepimop/gempyor_pkg/src/gempyor/inference.py
@@ -12,6 +12,29 @@
 import pyarrow.parquet as pq
 import xarray as xr
 import numba as nb
+import copy
+
+
+def emcee_logprob(proposal, modinf, inferpar, loss, static_sim_arguments, save=False):
+    if not inferpar.check_in_bound(proposal=proposal):
+        print("OUT OF BOUND!!")
+        return -np.inf
+    
+    snpi_df_mod, hnpi_df_mod = inferpar.inject_proposal(proposal=proposal, snpi_df = static_sim_arguments["snpi_df_ref"], hnpi_df = static_sim_arguments["hnpi_df_ref"])
+    
+    ss = copy.deepcopy(static_sim_arguments)
+    ss["snpi_df_in"] = snpi_df_mod
+    ss["hnpi_df_in"] = hnpi_df_mod
+    del ss["snpi_df_ref"]
+    del ss["hnpi_df_ref"]
+
+    
+    outcomes_df = simulation_atomic(**ss, modinf=modinf, save=save)
+
+    ll_total, logloss, regularizations = loss.compute_logloss(model_df=outcomes_df, modinf=modinf)
+    print(f"llik is {ll_total}")
+
+    return ll_total
 
 
 # TODO: there is way to many of these functions, merge with the R interface.py implementation to avoid code duplication
diff --git a/flepimop/gempyor_pkg/src/gempyor/inference_parameter.py b/flepimop/gempyor_pkg/src/gempyor/inference_parameter.py
index de7ce83d8..aeb56b461 100644
--- a/flepimop/gempyor_pkg/src/gempyor/inference_parameter.py
+++ b/flepimop/gempyor_pkg/src/gempyor/inference_parameter.py
@@ -103,6 +103,14 @@ def print_summary(self):
                 f"   >> affected subpop: {self.subpops[p_idx]}"
             )
 
+    def __str__(self) -> str:
+        from collections import Counter
+        this_str = f"InferenceParameters: with {self.get_dim()} parameters: \n"
+        for key, value in Counter(self.ptypes).items():
+            this_str += f"    {key}: {value} parameters\n"
+        
+        return this_str
+
     def get_dim(self):
         return len(self.pnames)
 
@@ -152,7 +160,7 @@ def hit_ubs(self, proposal) -> np.ndarray:
         """
         return np.array((proposal > self.ubs))
 
-    def inject_proposal(self, proposal, hnpi_df=None, snpi_df=None):
+    def inject_proposal(self, proposal, snpi_df=None, hnpi_df=None,):
         """
         Injects the proposal into model inputs, at the right place.
 
@@ -167,14 +175,16 @@ def inject_proposal(self, proposal, hnpi_df=None, snpi_df=None):
         snpi_df_mod = snpi_df.copy(deep=True)
         hnpi_df_mod = hnpi_df.copy(deep=True)
 
+        # Ideally this should lie in each submodules, e.g NPI.inject, parameter.inject
+
         for p_idx in range(self.get_dim()):
-            if self.ptypes[p_idx] == "snpi":
+            if self.ptypes[p_idx] == "seir_modifiers":
                 snpi_df_mod.loc[
                     (snpi_df_mod["modifier_name"] == self.pnames[p_idx])
                     & (snpi_df_mod["subpop"] == self.subpops[p_idx]),
                     "value",
                 ] = proposal[p_idx]
-            elif self.ptypes[p_idx] == "hnpi":
+            elif self.ptypes[p_idx] == "outcome_modifiers":
                 hnpi_df_mod.loc[
                     (hnpi_df_mod["modifier_name"] == self.pnames[p_idx])
                     & (hnpi_df_mod["subpop"] == self.subpops[p_idx]),
diff --git a/flepimop/gempyor_pkg/src/gempyor/statistics.py b/flepimop/gempyor_pkg/src/gempyor/statistics.py
index 8c233dc13..adc28a9f3 100644
--- a/flepimop/gempyor_pkg/src/gempyor/statistics.py
+++ b/flepimop/gempyor_pkg/src/gempyor/statistics.py
@@ -65,7 +65,6 @@ def _forecast_regularize(self, model_data, gt_data, **kwargs):
         # scale the data so that the lastest X items are more important
         last_n = kwargs.get("last_n", 4)
         mult = kwargs.get("mult", 2)
-        print("forecast", last_n, mult)
 
         last_n_llik = self.llik(model_data.isel(date=slice(-last_n, None)), gt_data.isel(date=slice(-last_n, None)))