A condensed version of CRG-TR-91-2 on ``Bayesian mixture modeling by Monte Carlo simulation'' appeared as the following workshop paper: Neal, R. M. (1992) ``Bayesian mixture modeling'', in C. R. Smith, G. J. Erickson, and P. O. Neudorfer (editors) Maximum Entropy and Bayesian Methods: Proceedings of the 11th International Workshop on Maximum Entropy and Bayesian Methods of Statistical Analysis, Seattle, 1991, Dordrecht: Kluwer Academic Publishers.