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Re: st: simultaneous bivariate probit with mutual endogeneity


From   Austin Nichols <austinnichols@gmail.com>
To   statalist@hsphsun2.harvard.edu
Subject   Re: st: simultaneous bivariate probit with mutual endogeneity
Date   Fri, 25 Feb 2011 10:28:03 -0500

Michele Mancini <mmancini.stata@gmail.com>:
-biprobit- can't do that--nor can -cmp- (on SSC)--you will have to
program it yourself; see
http://www.stata.com/help.cgi?ml
http://www.stata.com/bookstore/ml4.html

On Fri, Feb 25, 2011 at 9:05 AM, Michele Mancini
<mmancini.stata@gmail.com> wrote:
> Hi Statalisters,
>
> I have to estimate the following bivariate probit:
>
> Y1=a*Y2+b1X1
> Y2=c*Y1+b2X2
>
> where X1 and X2 are two sets of different variables (some of them are
> the same) and Y1 and Y2 are two [0,1] endogenous variables.
> I don't have any problem using -biprobit- but there is a problem
> indeed: coherency conditions. The literature says that a coherency
> condition is a*c=0.
> With this condition you force the system to be recursive, setting for
> example c=0.
> Imposing c=0 and using -biprobit- is fine: high significance and rho
> is different from zero (p=0.0000).
> But I'd like to try another way. I've read this paper (Hajivassiliou
> 2008, pag.15: http://www.nuffield.ox.ac.uk/General/Seminars/Papers/969.pdf):
> imposing a>0 and c<0 you have solved the problem, using conditional
> MLE in a way that the observed LDVs to lay outside the empy region
> (see pag. 20-21 of the paper).
> How can I perform this using -biprobt- or other Stata commands?
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