interaction terms in arma model

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joachim_werteke
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Joined: Fri Jun 28, 2013 10:03 am

interaction terms in arma model

Postby joachim_werteke » Fri Jun 28, 2013 10:12 am

Hello,

I want to estimate a simple regime switching model in an arma model with one regime change and I dont know how to include interactions with MA-terms. So basically I am trying to estimate the model

y_t = alpha + beta_1 * y_{t-1} + (beta_2 - beta_1) * d * y_{t-1} + theta_0 * epsilon_t + (theta_1 - theta_0) * d * epsilon_t + error

where y is the dependent variable, alpha the intercept, beta_1 the coefficient for the ar terms before the regime change, beta_2 the coefficients after the regime change and theta are the respective coefficients for the ma terms.

My question is: how can I include a dummy term to interact with the ma terms?

I need a replacement for ma(1)*dummy in an equation like this:

Code: Select all

ls y c y(-1) y(-1)*dummy ma(1) dummy*ma(1)
Thanks a lot!

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