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diff --git a/docs/dev/_images/plot_spiral_arms.png b/docs/dev/_images/plot_spiral_arms.png
diff --git a/docs/dev/_images/sphx_glr_light_curve_simulation_001.png b/docs/dev/_images/sphx_glr_light_curve_simulation_001.png
diff --git a/docs/dev/_images/sphx_glr_light_curve_simulation_002.png b/docs/dev/_images/sphx_glr_light_curve_simulation_002.png
diff --git a/docs/dev/_images/sphx_glr_light_curve_simulation_thumb.png b/docs/dev/_images/sphx_glr_light_curve_simulation_thumb.png
diff --git a/docs/dev/_images/sphx_glr_plot_constant_temporal_001.png b/docs/dev/_images/sphx_glr_plot_constant_temporal_001.png
diff --git a/docs/dev/_images/sphx_glr_plot_constant_temporal_thumb.png b/docs/dev/_images/sphx_glr_plot_constant_temporal_thumb.png
diff --git a/docs/dev/_images/sphx_glr_plot_linear_temporal_001.png b/docs/dev/_images/sphx_glr_plot_linear_temporal_001.png
diff --git a/docs/dev/_images/sphx_glr_plot_linear_temporal_thumb.png b/docs/dev/_images/sphx_glr_plot_linear_temporal_thumb.png
diff --git a/docs/dev/_images/sphx_glr_plot_powerlaw_temporal_001.png b/docs/dev/_images/sphx_glr_plot_powerlaw_temporal_001.png
diff --git a/docs/dev/_images/sphx_glr_plot_powerlaw_temporal_thumb.png b/docs/dev/_images/sphx_glr_plot_powerlaw_temporal_thumb.png
diff --git a/docs/dev/_images/sphx_glr_plot_sine_temporal_001.png b/docs/dev/_images/sphx_glr_plot_sine_temporal_001.png
diff --git a/docs/dev/_images/sphx_glr_plot_sine_temporal_thumb.png b/docs/dev/_images/sphx_glr_plot_sine_temporal_thumb.png
diff --git a/docs/dev/_images/sphx_glr_priors_002.png b/docs/dev/_images/sphx_glr_priors_002.png
diff --git a/docs/dev/_images/sphx_glr_priors_004.png b/docs/dev/_images/sphx_glr_priors_004.png
diff --git a/docs/dev/_images/sphx_glr_simulate_3d_001.png b/docs/dev/_images/sphx_glr_simulate_3d_001.png
diff --git a/docs/dev/_images/sphx_glr_simulate_3d_002.png b/docs/dev/_images/sphx_glr_simulate_3d_002.png
diff --git a/docs/dev/_images/sphx_glr_simulate_3d_thumb.png b/docs/dev/_images/sphx_glr_simulate_3d_thumb.png
diff --git a/docs/dev/_images/sphx_glr_spectral_analysis_rad_max_005.png b/docs/dev/_images/sphx_glr_spectral_analysis_rad_max_005.png
diff --git a/docs/dev/_sources/sg_execution_times.rst.txt b/docs/dev/_sources/sg_execution_times.rst.txt
diff --git a/docs/dev/_sources/tutorials/analysis-1d/sed_fitting.rst.txt b/docs/dev/_sources/tutorials/analysis-1d/sed_fitting.rst.txt
@@ -162,7 +162,7 @@ attribute:
 
     <div class="output_subarea output_html rendered_html output_result">
     <div><i>Table length=5</i>
-    <table id="table139824735776480" class="table-striped table-bordered table-condensed">
+    <table id="table140111956934128" class="table-striped table-bordered table-condensed">
     <thead><tr><th>e_ref</th><th>e_min</th><th>e_max</th><th>dnde</th><th>dnde_errp</th><th>dnde_errn</th><th>dnde_ul</th><th>sqrt_ts</th><th>is_ul</th></tr></thead>
     <thead><tr><th>GeV</th><th>GeV</th><th>GeV</th><th>1 / (cm2 GeV s)</th><th>1 / (cm2 GeV s)</th><th>1 / (cm2 GeV s)</th><th>1 / (cm2 GeV s)</th><th></th><th></th></tr></thead>
     <thead><tr><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float32</th><th>bool</th></tr></thead>

diff --git a/docs/dev/_sources/tutorials/analysis-1d/sg_execution_times.rst.txt b/docs/dev/_sources/tutorials/analysis-1d/sg_execution_times.rst.txt
@@ -6,7 +6,7 @@
 
 Computation times
 =================
-**00:43.775** total execution time for 7 files **from tutorials/analysis-1d**:
+**00:43.172** total execution time for 7 files **from tutorials/analysis-1d**:
 
 .. container::
 
@@ -33,23 +33,23 @@ Computation times
      - Time
      - Mem (MB)
    * - :ref:`sphx_glr_tutorials_analysis-1d_spectral_analysis.py` (``spectral_analysis.py``)
-     - 00:14.741
+     - 00:14.434
      - 0.0
    * - :ref:`sphx_glr_tutorials_analysis-1d_spectral_analysis_hli.py` (``spectral_analysis_hli.py``)
-     - 00:07.467
+     - 00:07.391
      - 0.0
    * - :ref:`sphx_glr_tutorials_analysis-1d_spectrum_simulation.py` (``spectrum_simulation.py``)
-     - 00:06.956
+     - 00:06.927
      - 0.0
    * - :ref:`sphx_glr_tutorials_analysis-1d_sed_fitting.py` (``sed_fitting.py``)
-     - 00:05.352
+     - 00:05.294
      - 0.0
    * - :ref:`sphx_glr_tutorials_analysis-1d_extended_source_spectral_analysis.py` (``extended_source_spectral_analysis.py``)
-     - 00:04.322
+     - 00:04.233
      - 0.0
    * - :ref:`sphx_glr_tutorials_analysis-1d_spectral_analysis_rad_max.py` (``spectral_analysis_rad_max.py``)
-     - 00:04.059
+     - 00:04.085
      - 0.0
    * - :ref:`sphx_glr_tutorials_analysis-1d_cta_sensitivity.py` (``cta_sensitivity.py``)
-     - 00:00.878
+     - 00:00.807
      - 0.0
diff --git a/docs/dev/_sources/tutorials/analysis-1d/spectral_analysis.rst.txt b/docs/dev/_sources/tutorials/analysis-1d/spectral_analysis.rst.txt
@@ -1121,7 +1121,7 @@ tutorial.
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** (0 minutes 14.741 seconds)
+   **Total running time of the script:** (0 minutes 14.434 seconds)
 
 
 .. _sphx_glr_download_tutorials_analysis-1d_spectral_analysis.py:

diff --git a/docs/dev/_sources/tutorials/analysis-1d/spectral_analysis_hli.rst.txt b/docs/dev/_sources/tutorials/analysis-1d/spectral_analysis_hli.rst.txt
@@ -992,7 +992,7 @@ This is how we can write the model back to file again:
     covariance: model-best-fit_covariance.dat
     metadata:
         creator: Gammapy 1.3.dev334+gb8282337f
-        date: '2024-05-16T13:17:50.285991'
+        date: '2024-05-16T16:01:05.778276'
         origin: null
 
 

diff --git a/docs/dev/_sources/tutorials/analysis-1d/spectral_analysis_rad_max.rst.txt b/docs/dev/_sources/tutorials/analysis-1d/spectral_analysis_rad_max.rst.txt
@@ -747,10 +747,10 @@ provide a good distribution of the background.
 
       model   type    name     value         unit      ... frozen is_norm link prior
     --------- ---- --------- ---------- -------------- ... ------ ------- ---- -----
-    simulated      amplitude 4.4650e-11 cm-2 s-1 TeV-1 ...  False    True           
+    simulated      amplitude 3.6023e-11 cm-2 s-1 TeV-1 ...  False    True           
     simulated      reference 1.0000e+00            TeV ...   True   False           
-    simulated          alpha 2.6730e+00                ...  False   False           
-    simulated           beta 3.1372e-01                ...  False   False           
+    simulated          alpha 2.5777e+00                ...  False   False           
+    simulated           beta 1.5104e-01                ...  False   False           
 
 
 

diff --git a/docs/dev/_sources/tutorials/analysis-1d/spectrum_simulation.rst.txt b/docs/dev/_sources/tutorials/analysis-1d/spectrum_simulation.rst.txt
@@ -411,14 +411,14 @@ dealing with simulations based on observations of real off counts.
     SpectrumDatasetOnOff
     --------------------
 
-      Name                            : -VbALLxl 
+      Name                            : FjZUyj0a 
 
-      Total counts                    : 325 
-      Total background counts         : 22.60
-      Total excess counts             : 302.40
+      Total counts                    : 303 
+      Total background counts         : 19.40
+      Total excess counts             : 283.60
 
-      Predicted counts                : 304.35
-      Predicted background counts     : 22.98
+      Predicted counts                : 300.81
+      Predicted background counts     : 19.44
       Predicted excess counts         : 281.37
 
       Exposure min                    : 2.53e+08 m2 s
@@ -428,7 +428,7 @@ dealing with simulations based on observations of real off counts.
       Number of fit bins              : 9 
 
       Fit statistic type              : wstat
-      Fit statistic value (-2 log(L)) : 6.30
+      Fit statistic value (-2 log(L)) : 5.04
 
       Number of models                : 1 
       Number of parameters            : 3
@@ -446,7 +446,7 @@ dealing with simulations based on observations of real off counts.
           amplitude                     :   2.50e-12   +/- 0.0e+00 1 / (cm2 s TeV)
           reference             (frozen):      1.000       TeV         
   
-        Total counts_off                : 113 
+        Total counts_off                : 97 
       Acceptance                      : 9 
       Acceptance off                  : 45 
 

diff --git a/docs/dev/_sources/tutorials/analysis-2d/detect.rst.txt b/docs/dev/_sources/tutorials/analysis-2d/detect.rst.txt
@@ -508,7 +508,7 @@ Here’s some suggestions what to do next:
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** (0 minutes 14.506 seconds)
+   **Total running time of the script:** (0 minutes 15.489 seconds)
 
 
 .. _sphx_glr_download_tutorials_analysis-2d_detect.py:

diff --git a/docs/dev/_sources/tutorials/analysis-2d/ring_background.rst.txt b/docs/dev/_sources/tutorials/analysis-2d/ring_background.rst.txt
@@ -666,7 +666,7 @@ to be a standard normal distribution.
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** (0 minutes 11.601 seconds)
+   **Total running time of the script:** (0 minutes 11.786 seconds)
 
 
 .. _sphx_glr_download_tutorials_analysis-2d_ring_background.py:

diff --git a/docs/dev/_sources/tutorials/analysis-2d/sg_execution_times.rst.txt b/docs/dev/_sources/tutorials/analysis-2d/sg_execution_times.rst.txt
@@ -6,7 +6,7 @@
 
 Computation times
 =================
-**00:31.010** total execution time for 3 files **from tutorials/analysis-2d**:
+**00:32.357** total execution time for 3 files **from tutorials/analysis-2d**:
 
 .. container::
 
@@ -33,11 +33,11 @@ Computation times
      - Time
      - Mem (MB)
    * - :ref:`sphx_glr_tutorials_analysis-2d_detect.py` (``detect.py``)
-     - 00:14.506
+     - 00:15.489
      - 0.0
    * - :ref:`sphx_glr_tutorials_analysis-2d_ring_background.py` (``ring_background.py``)
-     - 00:11.601
+     - 00:11.786
      - 0.0
    * - :ref:`sphx_glr_tutorials_analysis-2d_modeling_2D.py` (``modeling_2D.py``)
-     - 00:04.903
+     - 00:05.082
      - 0.0
diff --git a/docs/dev/_sources/tutorials/analysis-3d/analysis_3d.rst.txt b/docs/dev/_sources/tutorials/analysis-3d/analysis_3d.rst.txt
@@ -951,21 +951,21 @@ Data reduction
     Dataset 0: 
 
       Type       : MapDataset
-      Name       : kkMZF5HS
+      Name       : FXJupID-
       Instrument : CTA
       Models     : 
 
     Dataset 1: 
 
       Type       : MapDataset
-      Name       : JLTi7lcs
+      Name       : G7cKELRc
       Instrument : CTA
       Models     : 
 
     Dataset 2: 
 
       Type       : MapDataset
-      Name       : 0Zy8rN0R
+      Name       : viiO8tbn
       Instrument : CTA
       Models     : 
 
@@ -998,7 +998,7 @@ You can access each one by name or by index, eg:
     MapDataset
     ----------
 
-      Name                            : kkMZF5HS 
+      Name                            : FXJupID- 
 
       Total counts                    : 40481 
       Total background counts         : 36014.51
@@ -1066,9 +1066,9 @@ map, omit the region argument.
       name   counts       excess       ... n_fit_bins stat_type stat_sum
                                        ...                              
     -------- ------ ------------------ ... ---------- --------- --------
-    kkMZF5HS  40481 4466.4930435940405 ...     693940      cash      nan
-    JLTi7lcs  40525  4510.505523195905 ...     693940      cash      nan
-    0Zy8rN0R  40235  4220.480554966147 ...     693940      cash      nan
+    FXJupID-  40481 4466.4930435940405 ...     693940      cash      nan
+    G7cKELRc  40525  4510.505523195905 ...     693940      cash      nan
+    viiO8tbn  40235  4220.480554966147 ...     693940      cash      nan
     Models
 
     Component 0: SkyModel
@@ -1089,8 +1089,8 @@ map, omit the region argument.
 
     Component 1: FoVBackgroundModel
 
-      Name                      : kkMZF5HS-bkg
-      Datasets names            : ['kkMZF5HS']
+      Name                      : FXJupID--bkg
+      Datasets names            : ['FXJupID-']
       Spectral model type       : PowerLawNormSpectralModel
       Parameters:
         norm                          :      1.000   +/-    0.00             
@@ -1099,8 +1099,8 @@ map, omit the region argument.
 
     Component 2: FoVBackgroundModel
 
-      Name                      : JLTi7lcs-bkg
-      Datasets names            : ['JLTi7lcs']
+      Name                      : G7cKELRc-bkg
+      Datasets names            : ['G7cKELRc']
       Spectral model type       : PowerLawNormSpectralModel
       Parameters:
         norm                          :      1.000   +/-    0.00             
@@ -1109,8 +1109,8 @@ map, omit the region argument.
 
     Component 3: FoVBackgroundModel
 
-      Name                      : 0Zy8rN0R-bkg
-      Datasets names            : ['0Zy8rN0R']
+      Name                      : viiO8tbn-bkg
+      Datasets names            : ['viiO8tbn']
       Spectral model type       : PowerLawNormSpectralModel
       Parameters:
         norm                          :      1.000   +/-    0.00             
@@ -1225,8 +1225,8 @@ Check best-fit parameters and error estimates:
 
     Component 1: FoVBackgroundModel
 
-      Name                      : kkMZF5HS-bkg
-      Datasets names            : ['kkMZF5HS']
+      Name                      : FXJupID--bkg
+      Datasets names            : ['FXJupID-']
       Spectral model type       : PowerLawNormSpectralModel
       Parameters:
         norm                          :      1.118   +/-    0.01             
@@ -1235,8 +1235,8 @@ Check best-fit parameters and error estimates:
 
     Component 2: FoVBackgroundModel
 
-      Name                      : JLTi7lcs-bkg
-      Datasets names            : ['JLTi7lcs']
+      Name                      : G7cKELRc-bkg
+      Datasets names            : ['G7cKELRc']
       Spectral model type       : PowerLawNormSpectralModel
       Parameters:
         norm                          :      1.119   +/-    0.01             
@@ -1245,8 +1245,8 @@ Check best-fit parameters and error estimates:
 
     Component 3: FoVBackgroundModel
 
-      Name                      : 0Zy8rN0R-bkg
-      Datasets names            : ['0Zy8rN0R']
+      Name                      : viiO8tbn-bkg
+      Datasets names            : ['viiO8tbn']
       Spectral model type       : PowerLawNormSpectralModel
       Parameters:
         norm                          :      1.111   +/-    0.01             
@@ -1375,7 +1375,7 @@ Exercises
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** (0 minutes 30.451 seconds)
+   **Total running time of the script:** (0 minutes 31.443 seconds)
 
 
 .. _sphx_glr_download_tutorials_analysis-3d_analysis_3d.py:

diff --git a/docs/dev/_sources/tutorials/analysis-3d/cta_data_analysis.rst.txt b/docs/dev/_sources/tutorials/analysis-3d/cta_data_analysis.rst.txt
@@ -819,7 +819,7 @@ profile to compute the flux and flux error.
 
     <div class="output_subarea output_html rendered_html output_result">
     <div><i>Table length=5</i>
-    <table id="table139824576077104" class="table-striped table-bordered table-condensed">
+    <table id="table140111634602832" class="table-striped table-bordered table-condensed">
     <thead><tr><th>e_ref</th><th>e_min</th><th>e_max</th><th>dnde</th><th>dnde_err</th><th>ts</th><th>sqrt_ts</th><th>npred</th><th>npred_excess</th><th>stat</th><th>stat_null</th><th>counts</th><th>success</th></tr></thead>
     <thead><tr><th>TeV</th><th>TeV</th><th>TeV</th><th>1 / (cm2 s TeV)</th><th>1 / (cm2 s TeV)</th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th></tr></thead>
     <thead><tr><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64[1]</th><th>float32[1]</th><th>float64</th><th>float64</th><th>float64[1]</th><th>bool</th></tr></thead>
@@ -913,7 +913,7 @@ What next?
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** (0 minutes 17.392 seconds)
+   **Total running time of the script:** (0 minutes 19.390 seconds)
 
 
 .. _sphx_glr_download_tutorials_analysis-3d_cta_data_analysis.py:

diff --git a/docs/dev/_sources/tutorials/analysis-3d/energy_dependent_estimation.rst.txt b/docs/dev/_sources/tutorials/analysis-3d/energy_dependent_estimation.rst.txt
@@ -482,7 +482,7 @@ Plotting the results
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** (0 minutes 18.765 seconds)
+   **Total running time of the script:** (0 minutes 18.665 seconds)
 
 
 .. _sphx_glr_download_tutorials_analysis-3d_energy_dependent_estimation.py:

diff --git a/docs/dev/_sources/tutorials/analysis-3d/event_sampling.rst.txt b/docs/dev/_sources/tutorials/analysis-3d/event_sampling.rst.txt
@@ -1077,7 +1077,7 @@ Exercises
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** (0 minutes 19.615 seconds)
+   **Total running time of the script:** (0 minutes 20.305 seconds)
 
 
 .. _sphx_glr_download_tutorials_analysis-3d_event_sampling.py:

diff --git a/docs/dev/_sources/tutorials/analysis-3d/flux_profiles.rst.txt b/docs/dev/_sources/tutorials/analysis-3d/flux_profiles.rst.txt
@@ -374,11 +374,11 @@ We can see the full configuration by printing the estimator object:
     --------------------
 
       energy_edges           : [  10. 2000.] GeV
-      fit                    : <gammapy.modeling.fit.Fit object at 0x7f2b7ba66a60>
+      fit                    : <gammapy.modeling.fit.Fit object at 0x7f6e5bb75b20>
       n_jobs                 : None
       n_sigma                : 1
       n_sigma_ul             : 2
-      norm                   : Parameter(name='norm', value=1.0, factor=1.0, scale=1.0, unit=Unit(dimensionless), min=nan, max=nan, frozen=False, prior=None, id=0x7f2b7ba66310)
+      norm                   : Parameter(name='norm', value=1.0, factor=1.0, scale=1.0, unit=Unit(dimensionless), min=nan, max=nan, frozen=False, prior=None, id=0x7f6e5bb75d60)
       null_value             : 0
       parallel_backend       : None
       reoptimize             : False
@@ -826,7 +826,7 @@ And now plot the points together with the likelihood profiles:
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** (0 minutes 19.778 seconds)
+   **Total running time of the script:** (0 minutes 19.234 seconds)
 
 
 .. _sphx_glr_download_tutorials_analysis-3d_flux_profiles.py:

diff --git a/docs/dev/_sources/tutorials/analysis-3d/sg_execution_times.rst.txt b/docs/dev/_sources/tutorials/analysis-3d/sg_execution_times.rst.txt
@@ -6,7 +6,7 @@
 
 Computation times
 =================
-**02:04.604** total execution time for 8 files **from tutorials/analysis-3d**:
+**02:07.280** total execution time for 8 files **from tutorials/analysis-3d**:
 
 .. container::
 
@@ -33,26 +33,26 @@ Computation times
      - Time
      - Mem (MB)
    * - :ref:`sphx_glr_tutorials_analysis-3d_analysis_3d.py` (``analysis_3d.py``)
-     - 00:30.451
-     - 0.0
-   * - :ref:`sphx_glr_tutorials_analysis-3d_flux_profiles.py` (``flux_profiles.py``)
-     - 00:19.778
+     - 00:31.443
      - 0.0
    * - :ref:`sphx_glr_tutorials_analysis-3d_event_sampling.py` (``event_sampling.py``)
-     - 00:19.615
-     - 0.0
-   * - :ref:`sphx_glr_tutorials_analysis-3d_energy_dependent_estimation.py` (``energy_dependent_estimation.py``)
-     - 00:18.765
+     - 00:20.305
      - 0.0
    * - :ref:`sphx_glr_tutorials_analysis-3d_cta_data_analysis.py` (``cta_data_analysis.py``)
-     - 00:17.392
+     - 00:19.390
+     - 0.0
+   * - :ref:`sphx_glr_tutorials_analysis-3d_flux_profiles.py` (``flux_profiles.py``)
+     - 00:19.234
+     - 0.0
+   * - :ref:`sphx_glr_tutorials_analysis-3d_energy_dependent_estimation.py` (``energy_dependent_estimation.py``)
+     - 00:18.665
      - 0.0
    * - :ref:`sphx_glr_tutorials_analysis-3d_simulate_3d.py` (``simulate_3d.py``)
-     - 00:09.721
+     - 00:09.526
      - 0.0
    * - :ref:`sphx_glr_tutorials_analysis-3d_analysis_mwl.py` (``analysis_mwl.py``)
-     - 00:05.815
+     - 00:05.811
      - 0.0
    * - :ref:`sphx_glr_tutorials_analysis-3d_event_sampling_nrg_depend_models.py` (``event_sampling_nrg_depend_models.py``)
-     - 00:03.067
+     - 00:02.907
      - 0.0