From 62b0129adea4bc5e187d60e28a454f26a112482e Mon Sep 17 00:00:00 2001
From: Johannes Pfeifer <jpfeifer@gmx.de>
Date: Wed, 21 Feb 2024 17:30:15 +0100
Subject: [PATCH] :bug: univariate_kalman_filter: discard pathological
 parameter draws that result in negative variance

Logic was faulty as not bigger than tolerance does not imply being 0
---
 .../kalman/likelihood/univariate_kalman_filter.m | 16 +++++++++++++---
 .../likelihood/univariate_kalman_filter_d.m      | 12 +++++++++---
 2 files changed, 22 insertions(+), 6 deletions(-)

diff --git a/matlab/kalman/likelihood/univariate_kalman_filter.m b/matlab/kalman/likelihood/univariate_kalman_filter.m
index 50cdc6020f..43c8603590 100644
--- a/matlab/kalman/likelihood/univariate_kalman_filter.m
+++ b/matlab/kalman/likelihood/univariate_kalman_filter.m
@@ -84,7 +84,7 @@ function [LIK, lik,a,P] = univariate_kalman_filter(data_index,number_of_observat
 %   Second Edition, Ch. 6.4 + 7.2.5
 
 
-% Copyright © 2004-2021 Dynare Team
+% Copyright © 2004-2024 Dynare Team
 %
 % This file is part of Dynare.
 %
@@ -212,8 +212,18 @@ while notsteady && t<=last %loop over t
             a = a + Ki*prediction_error; %filtering according to (6.13) in DK (2012)
             P = P - PZ*Ki';              %filtering according to (6.13) in DK (2012)
         else
-            % do nothing as a_{t,i+1}=a_{t,i} and P_{t,i+1}=P_{t,i}, see
-            % p. 157, DK (2012)
+            if Fi<0
+                %pathological numerical case where variance is negative
+                if analytic_derivation
+                    LIK={NaN,DLIK,Hess};
+                else
+                    LIK = NaN;
+                end
+                return
+            else
+                % do nothing as a_{t,i+1}=a_{t,i} and P_{t,i+1}=P_{t,i}, see
+                % p. 157, DK (2012)
+            end
         end
     end
     if analytic_derivation
diff --git a/matlab/kalman/likelihood/univariate_kalman_filter_d.m b/matlab/kalman/likelihood/univariate_kalman_filter_d.m
index fb8a46d444..d18b262a0f 100644
--- a/matlab/kalman/likelihood/univariate_kalman_filter_d.m
+++ b/matlab/kalman/likelihood/univariate_kalman_filter_d.m
@@ -87,7 +87,7 @@ function [dLIK, dlikk, a, Pstar, llik] = univariate_kalman_filter_d(data_index,
 %   Series Analysis by State Space Methods", Oxford University Press,
 %   Second Edition, Ch. 5, 6.4 + 7.2.5
 
-% Copyright © 2004-2021 Dynare Team
+% Copyright © 2004-2024 Dynare Team
 %
 % This file is part of Dynare.
 %
@@ -155,8 +155,14 @@ while newRank && (t<=last)
             a = a+Kstar*(prediction_error/Fstar);
             Pstar = Pstar-Kstar*(Kstar'/Fstar);
         else
-            % do nothing as a_{t,i+1}=a_{t,i} and P_{t,i+1}=P_{t,i}, see
-            % p. 157, DK (2012)
+            if Fstar<0 || Finf<0
+                %pathological numerical case where variance is negative
+                dLIK = NaN;
+                return
+            else
+                % do nothing as a_{t,i+1}=a_{t,i} and P_{t,i+1}=P_{t,i}, see
+                % p. 157, DK (2012)
+            end
         end
     end
     if newRank
-- 
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