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Perfect simulation of conditionally specified models

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Abstract:

We discuss how the ideas of producing perfect simulations based on coupling from the past for finite state space models naturally extend to multivariate distributions with infinite or uncountable state spaces such as auto-gamma, auto-Poisson and autonegative binomial models, using Gibbs sampling in combination with sandwiching methods originally introduced for perfect simulation of point processes.

Keywords: Coupling from the past; Exact simulation; Gibbs sampling; Locally specified exponential family distributions; Markov chain Monte Carlo methods; Metropolis–Hastings algorithm; Spatial statistics

Document Type: Original Article

DOI: https://doi.org/10.1111/1467-9868.00175

Affiliations: Aalborg University, Denmark

Publication date: 1999-01-01

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