One important contribution of Richard Tweedie's work on MCMC
algorithms and simulation theory is his study of perfect or exact simulation
algorithms, right after Propp and Wilson's introduction of the concept
in 1996. We will attempt to review the work of Richard Tweedie in this
area and complement this review with examples of our own in the setup of
mixtures of distributions (joint works with G. Casella, J.P. Hobert, K.L.
Mengersen and D.M. Titterington)
