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Also known as likelihood-free methods, approximate Bayesian computational (ABC) methods have appeared in the past ten years as the most satisfactory approach to untractable likelihood problems, first in genetics then in a broader spectrum of applications.
Rubin D (1984) Bayesianly justifiable and relevant frequency calculations for the applied statistician. Annals of Statistics 12(4):1151–1172
1984
Earlier work this paper cites.
Tierney L, Kadane J (1986) Accurate approximations for posterior moments and marginal densities. Journal of the American Statistical Association 81(393):82–86
1986
Earlier work this paper cites.
Gelfand A, Smith A (1990) Sampling based approaches to calculating marginal densities. Journal of the American Statistical Association 85(410):398–409
1990
Earlier work this paper cites.
Gouriéroux C, Monfort A, Renault E (1993) Indirect inference. Journal of Applied Econometrics 8:85–118
1993
Earlier work this paper cites.
Tavaré S, Balding D, Griffith R, Donnelly P (1997) Inferring coalescence times from DNA sequence data. Genetics 145(2):505–518
1997
Earlier work this paper cites.
Pritchard J, Seielstad M, Perez-Lezaun A, Feldman M (1999) Population growth of human Y chromosomes: a study of Y chromosome microsatellites. Molecular Biology and Evolution 16:1791–1798
1999
Earlier work this paper cites.
Jaakkola T, Jordan M (2000) Bayesian parameter estimation via variational methods. Statistics and Computing 10(1):25–37
2000
Earlier work this paper cites.
Robert C (2001) The Bayesian Choice, 2nd edn. Springer-Verlag, New York
2001
Earlier work this paper cites.
Marjoram P, Molitor J, Plagnol V, Tavaré S (2003) Markov chain Monte Carlo without likelihoods. Proceedings of the National Academy of Sciences 100(26):15,324–15,328
2003
Earlier work this paper cites.
Robert C, Casella G (2004) Monte Carlo Statistical Methods, 2nd edn. Springer-Verlag, New York
2004
Earlier work this paper cites.
Rue H, Held L (2005) Gaussian Markov Random Fields: Theory and Applications, Monographs on Statistics and Applied Probability, vol 104. Chapman & Hall, London
2005
Earlier work this paper cites.
Bartolucci F, Scaccia L, Mira A (2006) Efficient Bayes factor estimation from the reversible jump output. Biometrika 93(1):41–52
2006
Earlier work this paper cites.
Del Moral P, Doucet A, Jasra A (2006) Sequential Monte Carlo samplers. Journal of the Royal Statistical Society Series B 68(3):411–436
2006
Earlier work this paper cites.
Møller J, Pettitt A, Reeves R, Berthelsen K (2006) An efficient Markov chain Monte Carlo method for distributions with intractable normalising constants. Biometrika 93(2):451–458
2006
Earlier work this paper cites.
R Development Core Team (2006) R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria, URL http://www.R-project.org
2006
Earlier work this paper cites.
Douc R, Guillin A, Marin JM, Robert C (2007) Convergence of adaptive mixtures of importance sampling schemes. Annals of Statistics 35(1):420–448
2007
Earlier work this paper cites.
Marin JM, Robert C (2007) Bayesian Core. Springer-Verlag, New York
2007
Earlier work this paper cites.
Sisson SA, Fan Y, Tanaka M (2007) Sequential Monte Carlo without likelihoods. Proceedings of the National Academy of Sciences 104(6):1760–1765
2007
Earlier work this paper cites.
Cornuet JM, Santos F, Beaumont MA, Robert CP, Marin JM, Balding DJ, Guillemaud T, Estoup A (2008) Inferring population history with DIYABC: a user-friendly approach to Approximate Bayesian Computation. Bioinformatics 24(23):2713–2719
2008
Cited alongside, same era.
Friel N, Pettitt A (2008) Marginal likelihood estimation via power posteriors. Journal of the Royal Statistical Society Series B 70(3):589–607
2008
Cited alongside, same era.
Joyce P, Marjoram P (2008) Approximately sufficient statistics and Bayesian computation. Statistical Applications in Genetics and Molecular Biology 7(1):article 26
2008
Cited alongside, same era.
Templeton A (2008) Statistical hypothesis testing in intraspecific phylogeography: nested clade phylogeographical analysis vs. approximate Bayesian computation. Molecular Ecology 18(2):319–331
2008
Cited alongside, same era.
Berger J, Fienberg S, Raftery A, Robert C (2010) Incoherent phylogeographic inference. Proceedings of the National Academy of Sciences 107(41):E57
2010
Later among the works it cites.
Blum M (2010) Approximate Bayesian computation: a non-parametric perspective. Journal of the American Statistical Association 105(491):1178–1187
2010
Later among the works it cites.
Blum M, François O (2010) Non-linear regression models for Approximate Bayesian Computation. Statistics and Computing 20(1):63–73
2010
Later among the works it cites.
Drovandi C, Pettitt A (2010) Estimation of Parameters for Macroparasite Population Evolution Using Approximate Bayesian Computation. Biometrics 67(1):225–233
2010
Later among the works it cites.
Fearnhead P, Prangle D (2010) Semi-automatic Approximate Bayesian Computation. Tech. Rep. 1004.1112, arXiv.org
2010
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Wilkinson RD (2008) Approximate Bayesian computation (ABC) gives exact results under the assumption of model error. Tech. Rep. 0811.3355, arXiv.org
2008
Cited alongside, same era.
Beaumont M, Cornuet JM, Marin JM, Robert C (2009) Adaptive approximate Bayesian computation. Biometrika 96(4):983–990
2009
Cited alongside, same era.
Campillo F, Rossi V (2009) Convolution particle filter for parameter estimation in general state-space models. IEEE Transactions on Aerospace and Electronic Systems 45(3):1063–1072
2009
Cited alongside, same era.
Cucala L, Marin JM, Robert C, Titterington D (2009) Bayesian inference in k k -nearest-neighbour classification models. Journal of the American Statistical Association 104(485):263–273
2009
Cited alongside, same era.
Del Moral P, Doucet A, Jasra A (2009) An adaptive sequential Monte Carlo method for approximate bayesian computation. Tech. rep., University of British Columbia
2009
Cited alongside, same era.
Grelaud A, Marin JM, Robert C, Rodolphe F, Tally F (2009) Likelihood-free methods for model choice in Gibbs random fields. Bayesian Analysis 3(2):427–442
2009
Cited alongside, same era.
McKinley T, Cook A, Deardon R (2009) Inference in epidemic models without likelihoods. The International Journal of Biostatistics 5(1):24
2009
Cited alongside, same era.
Ratmann O (2009) ABC under model uncertainty. PhD thesis, Imperial College, London
2009
Cited alongside, same era.
Later among the works it cites.
Leuenberger C, Wegmann D, Excoffier L (2010) Bayesian computation and model selection in population genetics. Genetics 184(1):243–252
2010
Later among the works it cites.
Marin JM, Robert C (2010) Importance sampling methods for Bayesian discrimination between embedded models. In: Chen MH, Dey D, Müller P, Sun D, Ye K (eds) Frontiers of Statistical Decision Making and Bayesian Analysis, Springer-Verlag, New York, pp 513–527
2010
Later among the works it cites.
Ratmann O, Andrieu C, Wiuf C, Richardson S (2010) Reply to robert et al.: Model criticism informs model choice and model comparison. Proceedings of the National Academy of Sciences 107(3):E6
2010
Later among the works it cites.
Robert CP, Mengersen K, Chen C (2010) Model choice versus model criticism. Proceedings of the National Academy of Sciences 107(3):E5
2010
Later among the works it cites.
Templeton A (2010) Coherent and incoherent inference in phylogeography and human evolution. Proceedings of the National Academy of Sciences 107(14):6376–6381
2010
Later among the works it cites.
Toni T, Stumpf M (2010) Simulation-based model selection for dynamical systems in systems and population biology. Bioinformatics 26(1):104–110
2010
Later among the works it cites.
Dean TA, Singh SS, Jasra A, Peters GW (2011) Parameter estimation for hidden markov models with intractable likelihoods. Tech. Rep. 1103.5399, arXiv.org
2011
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Del Moral P, Doucet A, Jasra A (2011) On adaptive resampling strategies for sequential monte-carlo methods. Bernoulli to appear
2011
Closest in time.
Didelot X, Everitt R, Johansen A, Lawson D (2011) Likelihood-free estimation of model evidence. Bayesian Analysis 6(1):48–76
2011
Closest in time.
Jasra A, Singh SS, Martin JS, McCoy E (2011) Filtering via approximate Bayesian computation. Statistics and Computing To appear
2011
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Robert C, Cornuet JM, Marin JM, Pillai N (2011) Lack of confidence in ABC model choice. Tech. Rep. 1102.4432, arXiv.org
2011
Closest in time.
Beaumont M, Zhang W, Balding D (2002) Approximate Bayesian computation in population genetics. Genetics 162(4):2025–2035
2035
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