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Re: st: Partial observability in bivariate probit model (Poirier(1980))


From   "Brian P. Poi" <[email protected]>
To   [email protected]
Subject   Re: st: Partial observability in bivariate probit model (Poirier(1980))
Date   Mon, 19 Jan 2004 07:48:56 -0600 (CST)

On Mon, 19 Jan 2004, Si Li wrote:

> Basically, the model is as follows:
> 
> Y1_star=X*b1+e1
> Y2_star=X*b2+e2
> 
> Y1=1 if Y1_star>=0 and Y2=1 if Y2_star>=0. Let Zi=Y1i*Y2i. We have data 
on
> Zi=0, 1. But no info about Y1* or Y2*. Prob(Zi=1)=Prob(Y1=1 and
> Y2=1)=F(X*b1,X*b2,rho). log-likelihood
> fn=sum[Zi*prob(Zi=1)+(1-Zi)*prob(Zi=0)].
> 
> This model is similar to a bivariate probit in spirit. The difference is 
that
> it puts all the observations of (0 1), (1 0), and (0 0) into Zi=0.
> 
> Do you know how I can use Stata to estimate the above model? Your 
response
> will be highly appreciated.
> 
> 
    
Dear Si,
 
The -biprobit- command has an option called "partial" to estimate
Poirier's partially observable model.
 
   --Brian
   [email protected]


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