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From:
"William Mac Millan, University of Michigan" <[log in to unmask]>
Reply To:
Political Methodology Society <[log in to unmask]>
Date:
Fri, 25 Jul 2008 12:59:24 -0400
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Hello all,

I have a question about implementing a variant of a regime switching  
regression.  The preferred model has three regimes and has endogenous  
determinants of the regime.  In other words, I?m modeling something  
like this

Y_t = b_1*X_1 + e_1
        =b_2*X_2 + e_2
        = b_3*X_3 +e_3
Pr(R=r)=b_4*X_4 + e_4, with r taking on one of three values, which  
indicates the current (unobservable) regime.  The current regime  
determines which of the three parameters is having an effect on our  
dependent variable.

What solutions are available for coming up with parameter estimates?   
Stata has an implementation for an endogenous two regime approach, and  
I?ve heard that GAUSS has some packages which are similar but I?ve  
been unable to pin down if they are capable of handling this  
particular problem.  R does have some regime switching packages,  
though they are strictly time-series related. As far as I can tell,  
these aren?t flexible enough to model the rhs parts of the equation  
(since what we have isn?t lagged values of the dep var).  Does anyone  
know of a Stata package which can handle the three regime approach?   
Or in any other program?

Any help on this problem would be appreciated.


Thanks in advance,

Bill Mac Millan
Dept. of Political Science
University of Michigan

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