dynare/matlab/+gsa/stability_mapping.m

604 lines
25 KiB
Matlab

function x0 = stability_mapping(OutputDirectoryName,opt_gsa,M_,oo_,options_,bayestopt_,estim_params_)
% x0 = stability_mapping(OutputDirectoryName,opt_gsa,M_,oo_,options_,bayestopt_,estim_params_)
% Mapping of stability regions in the prior ranges applying
% Monte Carlo filtering techniques.
%
% Inputs
% - OutputDirectoryName [string] name of the output directory
% - opt_gsa [structure] GSA options structure
% - M_ [structure] Matlab's structure describing the model
% - oo_ [structure] Matlab's structure describing the results
% - options_ [structure] Matlab's structure describing the current options
% - bayestopt_ [structure] describing the priors
% - estim_params_ [structure] characterizing parameters to be estimated
%
% Outputs:
% - x0 one parameter vector for which the model is stable.
%
%
% Inputs from opt_gsa structure
% Nsam = MC sample size
% fload = 0 to run new MC; 1 to load prevoiusly generated analysis
% alpha2 = significance level for bivariate sensitivity analysis
% [abs(corrcoef) > alpha2]
% prepSA = 1: save transition matrices for mapping reduced form
% = 0: no transition matrix saved (default)
% pprior = 1: sample from prior ranges (default): sample saved in
% _prior.mat file
% = 0: sample from posterior ranges: sample saved in
% _mc.mat file
%
% GRAPHS
% 1) Pdf's of marginal distributions under the stability (dotted
% lines) and unstability (solid lines) regions
% 2) Cumulative distributions of:
% - stable subset (dotted lines)
% - unacceptable subset (solid lines)
% 3) Bivariate plots of significant correlation patterns
% ( abs(corrcoef) > alpha2) under the stable and unacceptable subsets
%
% USES qmc_sequence, gsa.stability_mapping_univariate, gsa.stability_mapping_bivariate
%
% Written by Marco Ratto
% Joint Research Centre, The European Commission,
% marco.ratto@ec.europa.eu
% Copyright © 2012-2016 European Commission
% Copyright © 2012-2023 Dynare Team
%
% This file is part of Dynare.
%
% Dynare is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% Dynare is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with Dynare. If not, see <https://www.gnu.org/licenses/>.
Nsam = opt_gsa.Nsam;
fload = opt_gsa.load_stab;
alpha2 = opt_gsa.alpha2_stab;
pvalue_ks = opt_gsa.pvalue_ks;
pvalue_corr = opt_gsa.pvalue_corr;
prepSA = (opt_gsa.redform | opt_gsa.identification);
pprior = opt_gsa.pprior;
neighborhood_width = opt_gsa.neighborhood_width;
ilptau = opt_gsa.ilptau;
nliv = opt_gsa.morris_nliv;
ntra = opt_gsa.morris_ntra;
dr_ = oo_.dr;
ys_ = oo_.dr.ys;
nspred = M_.nspred; %size(dr_.ghx,2);
nboth = M_.nboth;
nfwrd = M_.nfwrd;
fname_ = M_.fname;
np = estim_params_.np;
nshock = estim_params_.nvx;
nshock = nshock + estim_params_.nvn;
nshock = nshock + estim_params_.ncx;
nshock = nshock + estim_params_.ncn;
lpmat0=zeros(Nsam,0);
xparam1=[];
%% prepare prior bounds
[~,~,~,lb,ub] = set_prior(estim_params_,M_,options_); %Prepare bounds
if ~isempty(bayestopt_) && any(bayestopt_.pshape > 0)
% Set prior bounds
bounds = prior_bounds(bayestopt_, options_.prior_trunc);
bounds.lb = max(bounds.lb,lb);
bounds.ub = min(bounds.ub,ub);
else % estimated parameters but no declared priors
% No priors are declared so Dynare will estimate the model by
% maximum likelihood with inequality constraints for the parameters.
bounds.lb = lb;
bounds.ub = ub;
if opt_gsa.prior_range==0
warning('GSA:: When using ML, sampling from the prior is not possible. Setting prior_range=1')
opt_gsa.prior_range=1;
end
end
if nargin==0
OutputDirectoryName='';
end
options_mcf.pvalue_ks = pvalue_ks;
options_mcf.pvalue_corr = pvalue_corr;
options_mcf.alpha2 = alpha2;
%% get LaTeX names
name=cell(np,1);
name_tex=cell(np,1);
for jj=1:np
if options_.TeX
[param_name_temp, param_name_tex_temp]= get_the_name(nshock+jj,options_.TeX,M_,estim_params_,options_.varobs);
name_tex{jj,1} = param_name_tex_temp;
name{jj,1} = param_name_temp;
else
param_name_temp = get_the_name(nshock+jj,options_.TeX,M_,estim_params_,options_.varobs);
name{jj,1} = param_name_temp;
end
end
if options_.TeX
options_mcf.param_names_tex = name_tex;
end
options_mcf.param_names = name;
options_mcf.fname_ = fname_;
options_mcf.OutputDirectoryName = OutputDirectoryName;
options_mcf.xparam1 = [];
options_.periods=0;
options_.nomoments=1;
options_.irf=0;
options_.noprint=1;
if fload==0 %run new MC
if isfield(dr_,'ghx')
egg=zeros(length(dr_.eigval),Nsam);
end
yys=zeros(length(dr_.ys),Nsam);
if opt_gsa.morris == 1
[lpmat] = gsa.Sampling_Function_2(nliv, np+nshock, ntra, ones(np+nshock, 1), zeros(np+nshock,1), []);
lpmat = lpmat.*(nliv-1)/nliv+1/nliv/2;
Nsam=size(lpmat,1);
lpmat0 = lpmat(:,1:nshock);
lpmat = lpmat(:,nshock+1:end);
else
if np<1112 && ilptau>0
[lpmat] = qmc_sequence(np, int64(1), 0, Nsam)';
if np>30 || ilptau==2 % scrambled lptau
for j=1:np
lpmat(:,j)=lpmat(randperm(Nsam),j);
end
end
else %ilptau==0
[lpmat] = NaN(Nsam,np);
for j=1:np
lpmat(:,j) = randperm(Nsam)'./(Nsam+1); %latin hypercube
end
end
end
gsa.prior_draw(M_,bayestopt_,options_,estim_params_,1); %initialize
if pprior
for j=1:nshock
if opt_gsa.morris~=1
lpmat0(:,j) = randperm(Nsam)'./(Nsam+1); %latin hypercube
end
if opt_gsa.prior_range
lpmat0(:,j)=lpmat0(:,j).*(bounds.ub(j)-bounds.lb(j))+bounds.lb(j);
end
end
if opt_gsa.prior_range
for j=1:np
lower_bound=max(-options_.huge_number,bounds.lb(j+nshock));
upper_bound=min(options_.huge_number,bounds.ub(j+nshock));
lpmat(:,j)=lpmat(:,j).*(upper_bound-lower_bound)+lower_bound;
end
else
xx=gsa.prior_draw(M_,bayestopt_,options_,estim_params_,0,[lpmat0 lpmat]);
lpmat0=xx(:,1:nshock);
lpmat=xx(:,nshock+1:end);
clear xx;
end
else %posterior analysis
if neighborhood_width>0 && isempty(options_.mode_file)
xparam1 = get_all_parameters(estim_params_,M_);
else
load([options_.mode_file '.mat'],'hh','xparam1');
end
if neighborhood_width>0
for j=1:nshock
if opt_gsa.morris ~= 1
lpmat0(:,j) = randperm(Nsam)'./(Nsam+1); %latin hypercube
end
ub=min([bounds.ub(j) xparam1(j)*(1+neighborhood_width)]);
lb=max([bounds.lb(j) xparam1(j)*(1-neighborhood_width)]);
lpmat0(:,j)=lpmat0(:,j).*(ub-lb)+lb;
end
for j=1:np
ub=xparam1(j+nshock)*(1+sign(xparam1(j+nshock))*neighborhood_width);
lb=xparam1(j+nshock)*(1-sign(xparam1(j+nshock))*neighborhood_width);
if bounds.ub(j+nshock)>=xparam1(j+nshock) && bounds.lb(j+nshock)<=xparam1(j+nshock)
ub=min([bounds.ub(j+nshock) ub]);
lb=max([bounds.lb(j+nshock) lb]);
else
fprintf('\nstab_map_:: the calibrated value of param %s for neighborhood_width sampling is outside prior bounds.\nWe allow violation of bounds for this parameter, but if this was not done on purpose, please change calibration before running neighborhood_width sampling\n', bayestopt_.name{j+nshock})
end
lpmat(:,j)=lpmat(:,j).*(ub-lb)+lb;
end
else
d = chol(inv(hh));
lp=randn(Nsam*2,nshock+np)*d+kron(ones(Nsam*2,1),xparam1');
lnprior=zeros(1,Nsam*2);
for j=1:Nsam*2
lnprior(j) = any(lp(j,:)'<=bounds.lb | lp(j,:)'>=bounds.ub);
end
ireal=1:2*Nsam;
ireal=ireal(lnprior==0);
lp=lp(ireal,:);
Nsam=min(Nsam, length(ireal));
lpmat0=lp(1:Nsam,1:nshock);
lpmat=lp(1:Nsam,nshock+1:end);
clear lp lnprior ireal;
end
end
%
h = dyn_waitbar(0,'Please wait...');
istable=1:Nsam;
jstab=0;
iunstable=1:Nsam;
iindeterm=zeros(1,Nsam);
iwrong=zeros(1,Nsam);
inorestriction=zeros(1,Nsam);
irestriction=zeros(1,Nsam);
infox=zeros(Nsam,1);
for j=1:Nsam
M_ = set_all_parameters([lpmat0(j,:) lpmat(j,:)]',estim_params_,M_);
try
if ~isempty(options_.endogenous_prior_restrictions.moment)
[Tt,Rr,~,info,oo_.dr,M_.params] = dynare_resolve(M_,options_,oo_.dr,oo_.steady_state,oo_.exo_steady_state,oo_.exo_det_steady_state);
else
[Tt,Rr,~,info,oo_.dr,M_.params] = dynare_resolve(M_,options_,oo_.dr,oo_.steady_state,oo_.exo_steady_state,oo_.exo_det_steady_state,'restrict');
end
infox(j,1)=info(1);
if infox(j,1)==0 && ~exist('T','var')
dr_=oo_.dr;
if prepSA
try
T=zeros(size(dr_.ghx,1),size(dr_.ghx,2)+size(dr_.ghu,2),Nsam);
catch ME
if strcmp('MATLAB:nomem',ME.identifier)
prepSA=0;
disp('The model is too large for storing state space matrices ...')
disp('for mapping reduced form or for identification')
end
T=[];
end
else
T=[];
end
egg=zeros(length(dr_.eigval),Nsam);
end
if infox(j,1)
% disp('no solution'),
if isfield(oo_.dr,'ghx')
oo_.dr=rmfield(oo_.dr,'ghx');
end
if (infox(j,1)<3 || infox(j,1)>5) && isfield(oo_.dr,'eigval')
oo_.dr=rmfield(oo_.dr,'eigval');
end
end
catch ME
if isfield(oo_.dr,'eigval')
oo_.dr=rmfield(oo_.dr,'eigval');
end
if isfield(oo_.dr,'ghx')
oo_.dr=rmfield(oo_.dr,'ghx');
end
disp('No solution could be found')
end
dr_ = oo_.dr;
if isfield(dr_,'ghx')
egg(:,j) = sort(dr_.eigval);
if prepSA
jstab=jstab+1;
T(:,:,jstab) = [dr_.ghx dr_.ghu];
end
if ~exist('nspred','var')
nspred = dr_.nspred; %size(dr_.ghx,2);
nboth = dr_.nboth;
nfwrd = dr_.nfwrd;
end
info=endogenous_prior_restrictions(Tt,Rr,M_,options_,oo_.dr,oo_.steady_state,oo_.exo_steady_state,oo_.exo_det_steady_state);
infox(j,1)=info(1);
if info(1)
inorestriction(j)=j;
else
iunstable(j)=0;
irestriction(j)=j;
end
else
istable(j)=0;
if isfield(dr_,'eigval')
egg(:,j) = sort(dr_.eigval);
if exist('nspred','var')
if any(isnan(egg(1:nspred,j)))
iwrong(j)=j;
else
if (nboth || nfwrd) && abs(egg(nspred+1,j))<=options_.qz_criterium
iindeterm(j)=j;
end
end
end
else
if exist('egg','var')
egg(:,j)=ones(size(egg,1),1).*NaN;
end
iwrong(j)=j;
end
end
ys_=real(dr_.ys);
yys(:,j) = ys_;
if mod(j,3)
dyn_waitbar(j/Nsam,h,['MC iteration ',int2str(j),'/',int2str(Nsam)])
end
end
dyn_waitbar_close(h);
if prepSA && jstab
T=T(:,:,1:jstab);
else
T=[];
end
istable=istable(istable~=0); % stable params ignoring restrictions
irestriction=irestriction(irestriction~=0); % stable params & restrictions OK
inorestriction=inorestriction(inorestriction~=0); % stable params violating restrictions
iunstable=iunstable(iunstable~=0); % violation of BK & restrictions & solution could not be found (whatever goes wrong)
iindeterm=iindeterm(iindeterm~=0); % indeterminacy
iwrong=iwrong(iwrong~=0); % dynare could not find solution
ixun=iunstable(~ismember(iunstable,[iindeterm,iwrong,inorestriction])); % explosive roots
bkpprior.pshape=bayestopt_.pshape;
bkpprior.p1=bayestopt_.p1;
bkpprior.p2=bayestopt_.p2;
bkpprior.p3=bayestopt_.p3;
bkpprior.p4=bayestopt_.p4;
if pprior
if ~prepSA
save([OutputDirectoryName filesep fname_ '_prior.mat'], ...
'bkpprior','lpmat','lpmat0','irestriction','iunstable','istable','iindeterm','iwrong','ixun', ...
'egg','yys','nspred','nboth','nfwrd','infox')
else
save([OutputDirectoryName filesep fname_ '_prior.mat'], ...
'bkpprior','lpmat','lpmat0','irestriction','iunstable','istable','iindeterm','iwrong','ixun', ...
'egg','yys','T','nspred','nboth','nfwrd','infox')
end
else %~pprior
if ~prepSA
save([OutputDirectoryName filesep fname_ '_mc.mat'], ...
'lpmat','lpmat0','irestriction','iunstable','istable','iindeterm','iwrong','ixun', ...
'egg','yys','nspred','nboth','nfwrd','infox')
else
save([OutputDirectoryName filesep fname_ '_mc.mat'], ...
'lpmat','lpmat0','irestriction','iunstable','istable','iindeterm','iwrong','ixun', ...
'egg','yys','T','nspred','nboth','nfwrd','infox')
end
end
else %load old run
if pprior
filetoload=[OutputDirectoryName filesep fname_ '_prior.mat'];
else
filetoload=[OutputDirectoryName filesep fname_ '_mc.mat'];
end
load(filetoload,'lpmat','lpmat0','irestriction','iunstable','istable','iindeterm','iwrong','ixun','infox')
Nsam = size(lpmat,1);
if pprior==0 && ~isempty(options_.mode_file)
load([options_.mode_file '.mat'],'xparam1');
end
if prepSA && isempty(strmatch('T',who('-file', filetoload),'exact'))
h = dyn_waitbar(0,'Please wait...');
options_.periods=0;
options_.nomoments=1;
options_.irf=0;
options_.noprint=1;
[~, oo_, options_] = stoch_simul(M_, options_, oo_, []);
ntrans=length(istable);
yys=NaN(length(ys_),ntrans);
for j=1:ntrans
M_.params(estim_params_.param_vals(:,1)) = lpmat(istable(j),:)';
[~,~,~,~,oo_.dr,M_.params] = dynare_resolve(M_,options_,oo_.dr,oo_.steady_state,oo_.exo_steady_state,oo_.exo_det_steady_state,'restrict');
if ~exist('T','var')
T=zeros(size(dr_.ghx,1),size(dr_.ghx,2)+size(dr_.ghu,2),ntrans);
end
dr_ = oo_.dr;
T(:,:,j) = [dr_.ghx dr_.ghu];
ys_=real(dr_.ys);
yys(:,j) = ys_;
if mod(j,3)
dyn_waitbar(j/ntrans,h,['MC iteration ',int2str(j),'/',int2str(ntrans)])
end
end
dyn_waitbar_close(h);
save(filetoload,'T','-append')
end
end
%% display and save output
if pprior
aunstname='prior_unstable'; aunsttitle='Prior StabMap: explosiveness of solution';
aindname='prior_indeterm'; aindtitle='Prior StabMap: Indeterminacy';
awrongname='prior_wrong'; awrongtitle='Prior StabMap: inability to find solution';
acalibname='prior_calib'; acalibtitle='Prior StabMap: IRF/moment restrictions';
asname='prior_stable'; atitle='Prior StabMap: Parameter driving non-existence of unique stable solution (Unacceptable)';
else
aunstname='mc_unstable'; aunsttitle='MC (around posterior mode) StabMap: explosiveness of solution';
aindname='mc_indeterm'; aindtitle='MC (around posterior mode) StabMap: Indeterminacy';
awrongname='mc_wrong'; awrongtitle='MC (around posterior mode) StabMap: inability to find solution';
acalibname='mc_calib'; acalibtitle='MC (around posterior mode) StabMap: IRF/moment restrictions';
asname='mc_stable'; atitle='MC (around posterior mode) StabMap: Parameter driving non-existence of unique stable solution (Unacceptable)';
end
delete([OutputDirectoryName,filesep,fname_,'_',asname,'.*']);
delete([OutputDirectoryName,filesep,fname_,'_',acalibname,'.*']);
delete([OutputDirectoryName,filesep,fname_,'_',aindname,'.*']);
delete([OutputDirectoryName,filesep,fname_,'_',aunstname,'.*']);
delete([OutputDirectoryName,filesep,fname_,'_',awrongname,'.*']);
fprintf('\nSensitivity Analysis: Stability mapping:\n')
if ~isempty(iunstable) || ~isempty(iwrong)
fprintf('%4.1f%% of the prior support gives unique saddle-path solution.\n',length(istable)/Nsam*100)
fprintf('%4.1f%% of the prior support gives explosive dynamics.\n',(length(ixun) )/Nsam*100)
if ~isempty(iindeterm)
fprintf('%4.1f%% of the prior support gives indeterminacy.\n',length(iindeterm)/Nsam*100)
end
inorestriction = istable(~ismember(istable,irestriction)); % violation of prior restrictions
if ~isempty(iwrong) || ~isempty(inorestriction)
skipline()
if any(infox==49)
fprintf('%4.1f%% of the prior support violates prior restrictions.\n',(length(inorestriction) )/Nsam*100)
end
if ~isempty(iwrong)
skipline()
disp(['For ',num2str(length(iwrong)/Nsam*100,'%4.1f'),'% of the prior support dynare could not find a solution.'])
skipline()
end
if any(infox==1)
disp([' For ',num2str(length(find(infox==1))/Nsam*100,'%4.1f'),'% The model doesn''t determine the current variables uniquely.'])
end
if any(infox==2)
disp([' For ',num2str(length(find(infox==2))/Nsam*100,'%4.1f'),'% MJDGGES returned an error code.'])
end
if any(infox==6)
disp([' For ',num2str(length(find(infox==6))/Nsam*100,'%4.1f'),'% The jacobian evaluated at the deterministic steady state is complex.'])
end
if any(infox==19)
disp([' For ',num2str(length(find(infox==19))/Nsam*100,'%4.1f'),'% The steadystate routine has thrown an exception (inconsistent deep parameters).'])
end
if any(infox==20)
disp([' For ',num2str(length(find(infox==20))/Nsam*100,'%4.1f'),'% Cannot find the steady state.'])
end
if any(infox==21)
disp([' For ',num2str(length(find(infox==21))/Nsam*100,'%4.1f'),'% The steady state is complex.'])
end
if any(infox==22)
disp([' For ',num2str(length(find(infox==22))/Nsam*100,'%4.1f'),'% The steady has NaNs.'])
end
if any(infox==23)
disp([' For ',num2str(length(find(infox==23))/Nsam*100,'%4.1f'),'% M_.params has been updated in the steadystate routine and has complex valued scalars.'])
end
if any(infox==24)
disp([' For ',num2str(length(find(infox==24))/Nsam*100,'%4.1f'),'% M_.params has been updated in the steadystate routine and has some NaNs.'])
end
if any(infox==30)
disp([' For ',num2str(length(find(infox==30))/Nsam*100,'%4.1f'),'% Ergodic variance can''t be computed.'])
end
end
skipline()
if length(iunstable)<Nsam || length(istable)>1
itot = 1:Nsam;
isolve = itot(~ismember(itot,iwrong)); % dynare could find a solution
% Blanchard Kahn
if neighborhood_width
options_mcf.xparam1 = xparam1(nshock+1:end);
end
itmp = itot(~ismember(itot,istable));
options_mcf.amcf_name = asname;
options_mcf.amcf_title = atitle;
options_mcf.beha_title = 'unique Stable Saddle-Path';
options_mcf.nobeha_title = 'NO unique Stable Saddle-Path';
if options_.TeX
options_mcf.beha_title_latex = 'unique Stable Saddle-Path';
options_mcf.nobeha_title_latex = 'NO unique Stable Saddle-Path';
end
options_mcf.title = 'unique solution';
gsa.monte_carlo_filtering_analysis(lpmat, istable, itmp, options_mcf, M_, options_, bayestopt_, estim_params_);
if ~isempty(iindeterm)
itmp = isolve(~ismember(isolve,iindeterm));
options_mcf.amcf_name = aindname;
options_mcf.amcf_title = aindtitle;
options_mcf.beha_title = 'NO indeterminacy';
options_mcf.nobeha_title = 'indeterminacy';
if options_.TeX
options_mcf.beha_title_latex = 'NO indeterminacy';
options_mcf.nobeha_title_latex = 'indeterminacy';
end
options_mcf.title = 'indeterminacy';
gsa.monte_carlo_filtering_analysis(lpmat, itmp, iindeterm, options_mcf, M_, options_, bayestopt_, estim_params_);
end
if ~isempty(ixun)
itmp = isolve(~ismember(isolve,ixun));
options_mcf.amcf_name = aunstname;
options_mcf.amcf_title = aunsttitle;
options_mcf.beha_title = 'NO explosive solution';
options_mcf.nobeha_title = 'explosive solution';
if options_.TeX
options_mcf.beha_title_latex = 'NO explosive solution';
options_mcf.nobeha_title_latex = 'explosive solution';
end
options_mcf.title = 'instability';
gsa.monte_carlo_filtering_analysis(lpmat, itmp, ixun, options_mcf, M_, options_, bayestopt_, estim_params_);
end
inorestriction = istable(~ismember(istable,irestriction)); % violation of prior restrictions
iwrong = iwrong(~ismember(iwrong,inorestriction)); % what went wrong beyond prior restrictions
if ~isempty(iwrong)
itmp = itot(~ismember(itot,iwrong));
options_mcf.amcf_name = awrongname;
options_mcf.amcf_title = awrongtitle;
options_mcf.beha_title = 'NO inability to find a solution';
options_mcf.nobeha_title = 'inability to find a solution';
if options_.TeX
options_mcf.beha_title_latex = 'NO inability to find a solution';
options_mcf.nobeha_title_latex = 'inability to find a solution';
end
options_mcf.title = 'inability to find a solution';
gsa.monte_carlo_filtering_analysis(lpmat, itmp, iwrong, options_mcf, M_, options_, bayestopt_, estim_params_);
end
if ~isempty(irestriction)
if neighborhood_width
options_mcf.xparam1 = xparam1;
end
np=size(bayestopt_.name,1);
name=cell(np,1);
name_tex=cell(np,1);
for jj=1:np
if options_.TeX
[param_name_temp, param_name_tex_temp]= get_the_name(jj,options_.TeX,M_,estim_params_,options_.varobs);
name_tex{jj,1} = param_name_tex_temp;
name{jj,1} = param_name_temp;
else
param_name_temp = get_the_name(jj,options_.TeX,M_,estim_params_,options_.varobs);
name{jj,1} = param_name_temp;
end
end
if options_.TeX
options_mcf.param_names_tex = name_tex;
end
options_mcf.param_names = name;
options_mcf.amcf_name = acalibname;
options_mcf.amcf_title = acalibtitle;
options_mcf.beha_title = 'prior IRF/moment calibration';
options_mcf.nobeha_title = 'NO prior IRF/moment calibration';
if options_.TeX
options_mcf.beha_title_latex = 'prior IRF/moment calibration';
options_mcf.nobeha_title_latex = 'NO prior IRF/moment calibration';
end
options_mcf.title = 'prior restrictions';
gsa.monte_carlo_filtering_analysis([lpmat0 lpmat], irestriction, inorestriction, options_mcf, M_, options_, bayestopt_, estim_params_);
iok = irestriction(1);
x0 = [lpmat0(iok,:)'; lpmat(iok,:)'];
else
iok = istable(1);
x0=0.5.*(bounds.ub(1:nshock)-bounds.lb(1:nshock))+bounds.lb(1:nshock);
x0 = [x0; lpmat(iok,:)'];
end
M_ = set_all_parameters(x0,estim_params_,M_);
[oo_.dr,~,M_.params] = resol(0,M_,options_,oo_.dr ,oo_.steady_state, oo_.exo_steady_state, oo_.exo_det_steady_state);
else
disp('All parameter values in the specified ranges are not acceptable!')
x0=[];
end
else
disp('All parameter values in the specified ranges give unique saddle-path solution,')
disp('and match prior IRF/moment restriction(s) if any!')
x0=0.5.*(bounds.ub(1:nshock)-bounds.lb(1:nshock))+bounds.lb(1:nshock);
x0 = [x0; lpmat(istable(1),:)'];
end
skipline(1);
xparam1=x0;
save([OutputDirectoryName filesep 'prior_ok.mat'],'xparam1');