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st: Log Likelihood for Linear Regression Models


From   leechtcn <[email protected]>
To   [email protected]
Subject   st: Log Likelihood for Linear Regression Models
Date   Wed, 29 Oct 2003 23:15:16 -0800 (PST)

Dear Listers,

I have a question concerning William Gould and William
Sribney's "MAximium Likelihood Estimation" (1st
edition):


In its 29th page, the author write the the following
lines:

   For instance, most people would write the log
likelihood for the linear regression model as:

  LnL = SUM(Ln(Normden((yi-xi*beta)/sigma)))-ln(sigma)
(1)

But in most econometrics textbooks, such as William
Green, the log likelihood for a linear regression is
only:

  LnL = SUM(Ln(Normden((yi-xi*beta)/sigma)))          
(2)


that is, the last item is dropped

I have also tried to use (2) in stata, it will give
"no concave" error message. In my Monte Carlo
experiments, (1) always gives reasonable results.

Can somebody tell me why there is a difference between
stata's log likelihood and those of the other
textbooks?

thanks a lot

Leecht



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