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Thread Subject:
Stability of VARMAX model

Subject: Stability of VARMAX model

From: kamuran turksoy

Date: 27 Sep, 2011 20:13:10

Message: 1 of 2

Hello Everyone,

I want to make parameter estimation for vector autoregressive moving average exogenous input (VARMAX) model.

 my model;

where y is nx1 vector, A and C are nxn matrices, u is singular, B is n,1 vector, e(k) is nx1 vector.

I found the link below which describe the stability condition for VARMAX model:

here it says if
det(I-A1*z-A2*z^2)~=0 for abs(z)<1 then the model is stable. In other words it says the roots of that polynomial matrix should lie outside the unit circle.

Since i am doing estimation, than i have to create some constraints on matrices A1 and A2 thus they satisfy the condition above.

Can anybody tell me how can i define constraints on A matrices?


Subject: Stability of VARMAX model

From: kamuran turksoy

Date: 3 Oct, 2011 02:04:29

Message: 2 of 2


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