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Petrone, S., Roberts, G. O. and Rosenthal, J. S. (1998) A note on convergence rates of Gibbs sampling for nonparametric mixtures, Unpublished manuscript.

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Modelling heterogeneity with and without the Dirichlet process - Green, Richardson (2000)   (12 citations)  (Correct)

....MacEachern (1996) and MacEachern and Muller (1994, 1998) these make use of the constructive incremental nature of the DP process (see Appendix) leading to natural Gibbs samplers for allocation variables or parameters. Convergence rates for these Gibbs samplers have recently been investigated by Petrone et al. 1998). In contrast, Richardson and Green (1997) developed re15 degree 2 4 6 8 10 80 90 100 110 120 enzyme degree 4 6 8 10 12 galaxy degree 0 2 4 6 8 10 220 230 240 250 260 lepto degree 2 4 6 8 10 platy Figure 5: Distributions of deviance D(g) comparison between DMA and DP models. ....

Petrone, S., Roberts, G. O. and Rosenthal, J. S. (1998) A note on convergence rates of Gibbs sampling for nonparametric mixtures, Unpublished manuscript.


Modelling heterogeneity with and without the Dirichlet process - Green, Richardson (1998)   (12 citations)  (Correct)

....and West (1995) and MacEachern and M uller (1994a, b) these make use of the constructive incremental nature of the DP process (see Appendix) leading to natural Gibbs samplers for allocation variables or parameters. Convergence rates for these Gibbs samplers have recently been investigated by Petrone et al. 1998). In contrast, Richardson and Green (1997) developed reversible jump Metropolis Hastings samplers for their DMA representation of the finite mixture models. In view of the intimate correspondence between DP and DMA models discussed above, it is interesting to examine the possibilities of using ....

Petrone, S., Roberts, G. O. and Rosenthal, J. S. (1998) A note on convergence rates of Gibbs sampling for nonparametric mixtures, Unpublished manuscript.


Modelling heterogeneity with and without the Dirichlet process - Green, Richardson (1999)   (12 citations)  (Correct)

....and West (1995) and MacEachern and Muller (1994, 1998) these make use of the constructive incremental nature of the DP process (see Appendix) leading to natural Gibbs samplers for allocation variables or parameters. Convergence rates for these Gibbs samplers have recently been investigated by Petrone et al. 1998). In contrast, Richardson and Green (1997) developed reversible jump Metropolis Hastings samplers for their DMA representation of the finite mixture models. In view of the intimate correspondence between DP and DMA models discussed above, it is interesting to examine the possibilities of using ....

Petrone, S., Roberts, G. O. and Rosenthal, J. S. (1998) A note on convergence rates of Gibbs sampling for nonparametric mixtures, Unpublished manuscript.

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