On Thu, 10 Oct 2024, Alecos Papadopoulos wrote:
gretl 2024b. Windows 10 64-bit.
Is there a way to impose a non-negativity/positivity constraint on the gmm
command for an estimated parameter *when using the --lbfgs option*?
I am trying to estimate variance(scale) parameters of a distribution. The
theoretical moment condition is
qw^2 + qu^2 = (1/n)sum res^2
(sum of squared residuals estimates the population variance, which is the sum
of two separate variances, so we need both qw>0, qu>0).
I wrote one of the two related orthogonality conditions as
series eq2 = (res2 - (sqrt(qw))^4 - (sqrt(qu))^4 ) *(1/obsn)
(obsn = n) .
/Without/ the --lbfgs option, it appears that the positivity constraint
imposed implicitly through the use of the square root, is respected.
But when I include the --lbfgs option in the gmm command, the estimator does
not seem to be bothered with the square root any more [...]
Alecos, could you give us example data and script to replicate this
issue, please? Off-list if you prefer.
Allin