Use of the Gibbs sampler in expert systems

Ackley, 1985, A learning algorithm for Boltzmann machines, Cogn. Sci., 9, 147, 10.1207/s15516709cog0901_7 Besag, 1991, Bayesian image restoration, with two applications in spatial statistics, Ann. Inst. Stat. Math., 43, 1, 10.1007/BF00116466 Breiman, 1968 Cannings, 1978, Probability functions on complex pedigrees, Adv. Appl. Probab., 10, 26, 10.2307/1426718 Feller, 1970, Vol. I Fung, 1990, Weighing and integrating evidence for stochastic simulation in Bayesian networks, 5, 209 Gelfand, 1990, Sampling-based approaches to calculating marginal densities, J. Am. Stat. Assoc., 85, 398, 10.1080/01621459.1990.10476213 Gelman, 1991, A single series from the Gibbs sampler provides a false sense of security Gelman, 1991, Honest inferences from iterative simulation Geman, 1984, Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images, IEEE Trans. Pattern Anal. Mach. Intell., 6, 721, 10.1109/TPAMI.1984.4767596 Geyer, 1991, Markov Chain Monte Carlo maximum likelihood, 156 Hastings, 1970, Monte Carlo sampling methods using Markov chains and their applications, Biometrika, 57, 97, 10.1093/biomet/57.1.97 Hinton, 1986, Learning and relearning in Boltzmann machines, 282 Hrycej, 1990, Gibbs sampling in Bayesian networks, Artif. Intell., 46, 351, 10.1016/0004-3702(90)90020-Z Kim, 1983, A computational model for combined causal and diagnostic reasoning in inference systems, 190 Kirkpatrick, 1983, Optimization by simulated annealing, Science, 220, 671, 10.1126/science.220.4598.671 Lauritzen, 1988, Local computations with probabilities on graphical structures and their application to expert systems (with discussion), J. Roy. Stat. Soc. B, 50, 157 Metropolis, 1953, Equations of state calculations by fast computing machines, J. Chem. Phys., 21, 1087, 10.1063/1.1699114 Pearl, 1986, A constraint-propagation approach to probabilistic reasoning, 357 Pearl, 1987, Evidential reasoning using stochastic simulation of causal models, Artif. Intell., 32, 245, 10.1016/0004-3702(87)90012-9 Pearl, 1988 Priestley, 1981, Vol. 1 Raftery, 1991, Ann. Inst. Stat. Math., 43, 32 Raftery, 1991, How many iterations in the Gibbs sampler, 10.21236/ADA640705 Ripley, 1987 Sheehan, 1989, Image processing procedures applied to the estimation of genotypes on pedigrees Sheehan, 1990, Genetic reconstruction on pedigrees Sheehan, 1990, Image processing procedures applied to the estimation of genotypes on pedigrees, Am. J. Hum. Genet., 45 N. Sheehan and A. Thomas, On the irreducibility of a Markov chain defined on a space of genotype configurations by a sampling scheme, Biometrics (to appear). Spiegelhalter, 1987, Coherent evidence propagation in expert systems, The Statistician, 36, 201, 10.2307/2348513 Spiegelhalter, 1988, Fast algorithms for probabilistic reasoning in influence diagrams, with applications in genetics and expert systems Suomela, 1976, Construction of nearest neighbor systems, Ann. Acad. Sci. Fenn. Ser. A I Math. Dissertationes, 10, 1