Non-Centered Positive definite logged parmeter



I have a quantity that where the top level is log normally distributed and the lower level qauntities are also postive definite with a lower limit that is non-zero. Is it possible to non-center the top-level in the same fashion as you would a typical Gaussian reparameterization?


A shifted lognormal distribution? This should be as easy as defining another parameter and then on the model step applying the shift on the left hand side.

real<lower = 0, upper = min(y)> shift;
for (n in 1:N)
   y[n] - shift ~ lognormal(mu, sigma);


Perhaps I’m thinking about this strangely. Shifting the log-normal is not difficult, but I’m curious about shifting it in a non-cenetered model. does this make sense?


The non-centering is the shift.