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.