Dear NMusers,

I have two questions about the mathematical details on POSTHOC estimation in 
NONMEM. How does NONMEM actually do when doing POSTHOC ($EST METHOD=0 
MAXEVEL=0) to get ETAs? I assume but not for sure there is an objective 
function to be minimized, somewhat like:
       
       Objective function = SUM(Yobs-Ypred)^2/sigma^2 + 
SUM(Para_i-Para_pop)^2/omega^2

Is there an objective function used in NONMEM when doing POSTHOC? If so, what 
is that function?

Secondly, if the answer to above is yes, let’s assume the real objective 
function is the same as what I mentioned above. I wonder how (NONMEM does) to 
minimize this function? I am currently trying to do similar things in R/Python 
language. I tried Metropolis-Hasting algorithm and Simulated Annealing 
algorithm, but with some technical problems. And the result was not comparable 
with NONMEM as well. Can someone give me a direction for this? The more 
mathematically detailed the better. 

Thanks!

Warm regards,
Tingjie


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