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We merge in this note our two discussions about the Read Paper "ParticleMarkov chain Monte Carlo" (Andrieu, Doucet, and Holenstein, 2010) presented onOctober 16th 2009 at the Royal Statistical Society, appearing in the Journal ofthe Royal Statistical Society Series B. We also present a more detailed versionof the ABC extension.

Comments on "Particle Markov Chain Monte Carlo" by C. Andrieu, A. Doucet and R. Hollenstein