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st: bootstrap for the simultaneous probit model
From
bilge <[email protected]>
To
[email protected]
Subject
st: bootstrap for the simultaneous probit model
Date
Sun, 20 May 2012 10:33:10 -0700 (PDT)
Dear all,
I am trying to estimate the following simultaneous probit model (model 6 of
chapter 8 in Maddala(1983)) :
(1) Y1* = a*Y2* + b*X1 + e1
(2) Y2* = b*Y1* + c*X2 + e2
where Y1 and Y2 are two endogeneous binary variables; X1 and X2 are two sets
of exogenous variables of Y1 and Y2 respectively; e1 and e2 the error terms.
Y1 and Y2 are endogenously determined by each other.
As far as I know stata does not have a program for this estimation directly
and that the 2-step probit estimation outlined in Maddala is
straightforward. However, the standard errors have to be corrected. A way to
correct the variance-coveriance matrix is by bootstrapping. However, i am
not familiar with this method.
Can anyone guide me in implementing this method?
Also, do I bootstrap in both steps of the probit estimations? Do i change my
coefficients according to bootstrap results?
I will appreciate your help a lot.
Best,
Bilge
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