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  • Specifying second order derivatives in 'gmm'

    Hello,

    I am running a 'gmm' estimation and need to specify constraints on the coefficients. Because of these constraints, I run into numerical errors (non-PSD hessian) and I need to hand-specify the derivatives. Is there a way to specify second-order derivatives in 'gmm'?

    Below is an example: I first run the code with the command 'gmm' alone, then specify first order derivatives, but I don't know how to specify second order derivatives...

    Best,
    Maxime

    Code:
    bcuse fertil2
    
    bcuse fertil2
    
    global x1 "educ age agesq electric tv spirit protest catholic _cons"
    global z "frsthalf age agesq electric tv spirit protest catholic"
    
    * (a) GMM​​
    gmm (children*exp(-{xb: $x1})-1),instruments($z)
    
    * (b) Specifying derivatives
    gmm (children*exp(-{xb: $x1})-1),instruments($z) ///
        deriv(/xb=- children*exp(-{xb:}))
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