# Bayesian MCMC Fitting lognorm mixture model w/constraint on population mean

#### mike-g2

##### New Member
I am trying to find a reference and/or guidance for fitting a mixture model to a population of data within an MCMC framwork where the global mean is constrained to a particular value, in this case 1. That is, $$E(X) = 1$$ where $$f(X) = \sum \omega_i f_i(x| \theta_i)$$ and the standard constraint $$\sum \omega_i = 1$$ where, ideally, $$f_i$$ are log normal distributions.

Any help will be appreciated.

Mike