diff --git a/tests/estimation/method_of_moments/CET/cet_imh.mod b/tests/estimation/method_of_moments/CET/cet_imh.mod
index 31897499c50d2ec204869b7eb88237bc64f11b4f..44d91a7ee3df862e0a6f806a43b694a83fdaa004 100644
--- a/tests/estimation/method_of_moments/CET/cet_imh.mod
+++ b/tests/estimation/method_of_moments/CET/cet_imh.mod
@@ -1,7 +1,7 @@
 % -------------------------------------------------------------------------
 % Functionality testing of Bayesian IRF matching with 
 % - independent Metropolis-Hastings
-% - >1 MCMC chains
+% - more than one MCMC chains
 % -------------------------------------------------------------------------
 
 % Copyright © 2023 Dynare Team
diff --git a/tests/estimation/method_of_moments/CET/cet_model.inc b/tests/estimation/method_of_moments/CET/cet_model.inc
index 07dacf507e21522b9970cf421e3e3b126ebc9b66..678d6fe0708d99baa0bb2f98d03a5127bd10ae11 100644
--- a/tests/estimation/method_of_moments/CET/cet_model.inc
+++ b/tests/estimation/method_of_moments/CET/cet_model.inc
@@ -726,6 +726,7 @@ ry                 , 0.01,      , , gamma_pdf , 0.10, 0.050;
 b                  ,     ,      , , beta_pdf  , 0.50, 0.150;
 sigmaa             ,     ,      , , gamma_pdf , 0.50, 0.300;
 Spp                ,     ,      , , gamma_pdf , 8.00, 2.000;
+@#ifndef LESSPARAMS
 alfa               ,     ,      , , beta_pdf  , 0.33, 0.025;
 thetaG             , 0.10,      , , beta_pdf  , 0.50, 0.200;
 deltapercent       ,     ,      , , gamma_pdf , 0.50, 0.400;
@@ -737,6 +738,7 @@ sig_epsR           ,     ,      , , gamma_pdf , 0.65, 0.050;
 sig_muz            ,     ,      , , gamma_pdf , 0.10, 0.050;
 sig_mupsi          ,     ,      , , gamma_pdf , 0.10, 0.050;
 rhomupsi           ,     ,      , , beta_pdf  , 0.75, 0.100;
+@#endif
 end;
 @#endif
 
diff --git a/tests/estimation/method_of_moments/CET/cet_rwmh.mod b/tests/estimation/method_of_moments/CET/cet_rwmh.mod
index 785be680088d2d1184d7f2a6e2e5ce90990e3755..870d12b628bd51167e0452fdf4c09ad006ef096e 100644
--- a/tests/estimation/method_of_moments/CET/cet_rwmh.mod
+++ b/tests/estimation/method_of_moments/CET/cet_rwmh.mod
@@ -22,7 +22,7 @@
 %
 % You should have received a copy of the GNU General Public License
 % along with Dynare.  If not, see <https://www.gnu.org/licenses/>.
-
+@#define LESSPARAMS=1
 @#include "cet_model.inc"
 
 options_.prior_interval= 0.95;
@@ -93,10 +93,10 @@ method_of_moments(mom_method = irf_matching
 , mode_file = cet_original_mode
 %, nobs
 %, no_posterior_kernel_density
-%, nodiagnostic
-%, nodisplay
-%, nograph
-%, noprint
+, nodiagnostic
+, nodisplay
+, nograph
+, noprint
 %, optim
 %, order
 %, penalized_estimator
@@ -178,7 +178,7 @@ method_of_moments(mom_method = irf_matching
 , mh_drop = 0.5
 , mh_jscale = 0.5
 , mh_nblocks = 1
-, mh_replic=2000
+, mh_replic=200
 , mode_compute = 0
 , mode_file = 'cet_rwmh_results_1/method_of_moments/cet_rwmh_mode'
 , plot_priors = 0
@@ -207,7 +207,7 @@ method_of_moments(mom_method = irf_matching
 , mh_drop = 0.5
 , mh_jscale = 0.5
 , mh_nblocks = 1
-, mh_replic=600
+, mh_replic=60
 , mode_compute = 0
 , plot_priors = 0
 , posterior_sampling_method = 'random_walk_metropolis_hastings'
diff --git a/tests/estimation/method_of_moments/CET/cet_slice.mod b/tests/estimation/method_of_moments/CET/cet_slice.mod
index db8d71cae841730779ccee8f24c4de73a1f35e9d..27a5652fce0cf2c30b53ef6f8433e7ada24cbb51 100644
--- a/tests/estimation/method_of_moments/CET/cet_slice.mod
+++ b/tests/estimation/method_of_moments/CET/cet_slice.mod
@@ -22,7 +22,7 @@
 %
 % You should have received a copy of the GNU General Public License
 % along with Dynare.  If not, see <https://www.gnu.org/licenses/>.
-
+@#define LESSPARAMS=1
 @#include "cet_model.inc"
 
 options_.prior_interval= 0.95;
@@ -79,7 +79,7 @@ method_of_moments(mom_method = irf_matching
 , mh_nblocks = 1
 %, mh_posterior_mode_estimation
 %, mh_recover
-, mh_replic=80
+, mh_replic=40 % too few draws yield error due to non positive definite covariance in the following estimations
 %, mh_tune_guess = 0.5
 %, mh_tune_jscale = 0.33
 %, mom_burnin
@@ -95,7 +95,7 @@ method_of_moments(mom_method = irf_matching
 %, no_posterior_kernel_density
 %, nodiagnostic
 %, nodisplay
-%, nograph
+, nograph
 %, noprint
 %, optim
 %, order
@@ -173,8 +173,9 @@ close all;
 method_of_moments(mom_method = irf_matching
 , irf_matching_file = cet_irf_matching_file
 , mh_nblocks = 1
-, mh_replic=20
+, mh_replic=10
 , plot_priors = 0
+, nograph
 , load_mh_file
 , posterior_sampling_method = 'slice'
 , posterior_sampler_options = ('rotated',1
@@ -194,8 +195,9 @@ close all;
 method_of_moments(mom_method = irf_matching
 , irf_matching_file = cet_irf_matching_file
 , mh_nblocks = 1
-, mh_replic=20
+, mh_replic=10
 , plot_priors = 0
+, nograph
 , mode_compute = 1
 , posterior_sampling_method = 'slice'
 , posterior_sampler_options = ('rotated',1
diff --git a/tests/estimation/method_of_moments/CET/cet_tarb.mod b/tests/estimation/method_of_moments/CET/cet_tarb.mod
index ff5023ba925a5b10951ae030d82bafa813dbc9fb..f7af30dee1652e03451459dc382e9e7c779fb6e0 100644
--- a/tests/estimation/method_of_moments/CET/cet_tarb.mod
+++ b/tests/estimation/method_of_moments/CET/cet_tarb.mod
@@ -20,7 +20,7 @@
 %
 % You should have received a copy of the GNU General Public License
 % along with Dynare.  If not, see <https://www.gnu.org/licenses/>.
-
+@#define LESSPARAMS=1
 @#include "cet_model.inc"
 
 options_.prior_interval= 0.95;
@@ -74,7 +74,7 @@ method_of_moments(mom_method = irf_matching
 , mh_nblocks = 1
 %, mh_posterior_mode_estimation
 %, mh_recover
-, mh_replic=25
+, mh_replic=5
 %, mh_tune_guess = 0.5
 %, mh_tune_jscale = 0.33
 %, mom_burnin
@@ -84,13 +84,13 @@ method_of_moments(mom_method = irf_matching
 %, mode_check_neighbourhood_size
 %, mode_check_number_of_points
 %, mode_check_symmetric_plots = 0
-, mode_compute = 1
+, mode_compute = 0
 , mode_file = cet_original_mode
 %, nobs
 %, no_posterior_kernel_density
 %, nodiagnostic
 %, nodisplay
-%, nograph
+, nograph
 %, noprint
 %, optim
 %, order
@@ -172,6 +172,7 @@ method_of_moments(mom_method = irf_matching
 , mode_compute = 4
 , mode_file = 'cet_tarb_results/method_of_moments/cet_tarb_mh_mode'
 , plot_priors = 0
+, nograph
 );
 
 %%%%%%%%%%%