Comment: Bayesian multinomial probit models with a normalization constraint

McCulloch, Polson and Rossi (2000) have proposed a prior for the Bayesian analysis of the multinomial probit model which incorporates the identification (or normalization) constraint σ11=1. Some empirical evidence on the performance of the prior and related sampler is provided. Direct simulation from Wishart and inverted Wishart distributions, conditional on one of the elements on the diagonal, is then considered. This suggests an alternative way of imposing the normalization constraint in a Bayesian multinomial probit model.