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Approximate Bayesian computation (ABC) methods are used to approximate posterior distributions using simulation rather than likelihood calculations.
Monte Carlo methods of inference for implicit statistical models
P. J. Diggle and R. J. Gratton · 1984
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Quasi-random sequences and their discrepancies
W. J. Morokoff and R. E. Caflisch · 1994
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Pressure matching for hydrocarbon reservoirs: a case study in the use of Bayes linear strategies for large computer experiments
P. S. Craig, M. Goldstein, A. H. Seheult, and J. A. Smith · 1997
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Bayesian calibration of computer models (with discussion)
M. Kennedy and A. O’Hagan · 2001
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Approximate Bayesian computatation in population genetics
M. A. Beaumont, W. Zhang, and D. J. Balding · 2002
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Using the fossil record to estimate the age of the last common ancestor of extant primates
S. Tavaré, C. R. Marshall, O. Will, C. Soligo, and R. D. Martin · 2002
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Markov chain Monte Carlo without likelihoods
P. Marjoram, J. Molitor, V. Plagnol, and S. Tavaré · 2003
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Gaussian processes to speed up hybrid Monte Carlo for expensive Bayesian integrals
C. E. Rasmussen · 2003
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The design and analysis of computer experiments
T. J. Santner, B. J. Williams, and W. I. Notz · 2003
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A unifying view of sparse approximate Gaussian process regression
J. Quiñonero-Candela and C. E. Rasmussen · 2005
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Principles of statistical inference
D. R. Cox · 2006
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Gaussian processes for machine learning
C. E. Rasmussen and C. K. I. Williams · 2006
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Sequential Monte Carlo without likelihoods
S. A. Sisson, Y. Fan, and M. M. Tanaka · 2007
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Bayesian inference of primate divergence times
R. D. Wilkinson · 2007
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Approximate Bayesian computation scheme for parameter inference and model selection in dynamical systems
T. Toni, D. Welsch, N. Strelkowa, A. Ipsen, and M. P. H. Stumpf · 2008
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Diagnostics for Gaussian process emulators
L. S. Bastos and A. O’Hagan · 2009
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Galaxy formation: a Bayesian uncertainty analysis
I. Vernon, M. Goldstein, and R. G. Bower · 2010
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Statistical inference for noisy nonlinear ecological dynamic systems
S. N. Wood · 2010
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Dating primate divergences through an integrated analysis of palaeontological and molecular data
R. D. Wilkinson, M. E. Steiper, C. Soligo, R. D. Martin, Z. Yang, and S. Tavaré · 2011
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Constructing summary statistics for approximate Bayesian computation: semi-automatic approximate Bayesian computation
P. Fearnhead and D. Prangle · 2012
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Approximate Bayesian computational methods
J.-M. Marin, P. Pudlo, C. P. Robert, and R. J. Ryder · 2012
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Approximate Bayesian computation (ABC) in practice
K. Csilléry, M. G. B. Blum, O. E. Gaggiotti, and O. François · 2010
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Simulation-based model selection for dynamical systems in systems and population biology
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Approximate Bayesian computation (ABC) gives exact results under the assumption of model error
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Expectation-propagation for likelihood-free inference
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Bayesian indirect inference using a parametric auxiliary model
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