Simulating data series using DLM

Discussion of State Space and Dynamic Stochastic General Equilibrium Models

Simulating data series using DLM

Postby Martin » Sat Oct 27, 2007 4:33 am

Hi, I want to simulate a data series of Y that follows a state-space model:
Y=PI*S
S=M*S{1}+G*e,
where e has a identity variance-covariance matrix. I want RATS to start from S(0) as a zero vector, and simulate a Y data series. Here is what my program is and the outcome. But my simulated Y series is full of NA. What's wrong here? Thanks for your help. Best, Martin.

disp PI
0.19936 -0.19936 0.07611 -1.90270 0.00000
0.06879 -0.06879 0.03659 -0.11475 0.00000
0.00947 -0.00947 0.00878 -0.21954 0.00000
1.14430 -0.14433 0.04684 -1.81090 1.00000
0.08000 -0.08000 0.03200 0.00000 0.00000
0.00000 0.00000 0.00000 0.80000 0.00000
1.00000 0.00000 0.00000 0.00000 1.00000
disp M
1.50000 -0.50000 0.00000 0.00000 0.00000
1.00000 0.00000 0.00000 0.00000 0.00000
0.00000 0.00000 0.80000 0.00000 0.00000
0.00000 0.00000 0.00000 0.80000 0.00000
0.00000 0.00000 0.00000 0.00000 0.80000

disp G
1.00000 0.00000 0.00000 0.00000
0.00000 0.00000 0.00000 0.00000
0.00000 0.00000 1.00000 0.00000
0.00000 1.00000 0.00000 0.00000
0.00000 0.00000 0.00000 1.00000
disp vm
1.00000 0.00000 0.00000 0.00000
0.00000 1.00000 0.00000 0.00000
0.00000 0.00000 1.00000 0.00000
0.00000 0.00000 0.00000 1.00000

all 200
dlm(c=tr(PI),a=M,f=G,type=simulate,yhat=y,sw=vm)

disp y(50)
NA NA NA NA NA NA NA
Martin
 
Posts: 5
Joined: Thu Oct 18, 2007 11:26 pm

Postby TomDoan » Mon Nov 05, 2007 2:51 pm

There are a couple of small "workarounds" that you'll need to get this to work properly. Replace your DLM with:

Code: Select all
dlm(c=tr(PI),a=M,type=simulate,yhat=y,y=||1.0,1.0,1.0,1.0,1.0,1.0,1.0||,sw=g*tr(g)) / xstates


The "F" option (added with version 7) doesn't work properly with TYPE=SIMULATE or TYPE=CSIMULATE (which we didn't know until you posted this). So the SW option will have to provide a full 5x5 covariance matrix. (Don't worry about this being singular). The added Y=||....|| option (the value could be any 7-vector) is needed to convince TYPE=SIMULATE that you want the complete vector.

These are both due to bugs in 7.00 which will be fixed in version 7.1.
TomDoan
 
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Joined: Wed Nov 01, 2006 5:36 pm


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