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Approximate Bayesian computation methods can be used to evaluate posterior distributions without having to calculate likelihoods.
Lotka, A. J. 1925 Elements of Physical Biology Baltimore: Williams & Wilkins Co
1925
Earlier work this paper cites.
Volterra, V. 1926 Variazioni e fluttuazioni del numero d’individui in specie animali conviventi Mem. R. Acad. Naz. dei Lincei 2
1926
Earlier work this paper cites.
Hammond, B. J. & Tyrrell, D. A. 1971 A mathematical model of common-cold epidemics on Tristan da Cunha The Journal of hygiene 69
1971
Earlier work this paper cites.
Shibli, M., Gooch, S., Lewis, H. E. & Tyrrell, D. A. 1971 Common colds on Tristan da Cunha The Journal of hygiene 69
1971
Earlier work this paper cites.
Cox, R. D. & Hinkley, D. V. 1974 Theoretical Statistics Chapman & Hall/CRC, New York
1974
Earlier work this paper cites.
Gillespie, D. 1977 Exact stochastic simulation of coupled chemical reactions The Journal of Physical Chemistry
1977
Earlier work this paper cites.
Kirkpatrick, S., Gelatt, C. & Vecchi, M. 1983 Optimization by simulated annealing Science 220
1983
Earlier work this paper cites.
Anderson, R. M. & May, R. M. 1991 Infectious Diseases of Humans: Dynamics and Control Oxford University Press
1991
Earlier work this paper cites.
Paul, C. 1992 Developing a delay differential equation solver Applied Numerical Mathematics 9
1992
Earlier work this paper cites.
Press, W. H., Teukolsky, S. A., Vetterling, W. T. & Flannery, B. P. 1992 Numerical recipes in C: the art of scientific computing (2nd edition) Cambridge University Press
1992
Earlier work this paper cites.
Enright, W. & Hu, M. 1995 Interpolating Runge-Kutta methods for vanishing delay differential equations Computing 55
1995
Earlier work this paper cites.
Kass, R. & Raftery, A. 1995 Bayes factors Journal of the American Statistical Association
1995
Earlier work this paper cites.
Fields, B. N., Knipe, D. M. & Howley, P. M. 1996 Fundamental Virology Lippincott Williams & Wilkins
1996
Earlier work this paper cites.
Sanchez, M. & Blower, S. 1997 Uncertainty and sensitivity analysis of the basic reproductive rate: Tuberculosis as an example American Journal of Epidemiology 145
1997
Earlier work this paper cites.
Liu, J. S. & Chen, R. 1998 Sequential Monte Carlo methods for dynamic systems Journal of the American Statistical Association
1998
Earlier work this paper cites.
Mendes, P. & Kell, D. 1998 Non-linear optimization of biochemical pathways: applications to metabolic engineering and parameter estimation Bioinformatics 14
1998
Earlier work this paper cites.
Hoeting, J., Madigan, D., Raftery, A. & Volinsky, C. 1999 Bayesian model averaging: a tutorial Statist. Sci
1999
Earlier work this paper cites.
Pritchard, J., Seielstad, M. T., Perez-Lezaun, A. & Feldman, M. W. 1999 Population growth of human Y chromosomes: a study of Y chromosome microsatellites Molecular Biology and Evolution 16
1999
Earlier work this paper cites.
Elowitz, M. B. & Leibler, S. 2000 A synthetic oscillatory network of transcriptional regulators Nature 403
2000
Earlier work this paper cites.
Liu, J. S. 2001 Monte Carlo Strategies in Scientific Computing Springer
2001
Cited alongside, same era.
Battogtokh, D., Asch, D. K., Case, M. E., Arnold, J. & Schuttler, H.-B. 2002 An ensemble method for identifying regulatory circuits with special reference to the qa gene cluster of Neurospora crassa Proc Natl Acad Sci USA 99
2002
Cited alongside, same era.
Horbelt, W., Timmer, J. & Voss, H. 2002 Parameter estimation in nonlinear delayed feedback systems from noisy data Phys Lett A 299
2002
Cited alongside, same era.
Putter, H., Heisterkamp, S. H., Lange, J. M. A. & de Wolf, F. 2002 A Bayesian approach to parameter estimation in HIV dynamical models Statistics in medicine 21
2002
Cited alongside, same era.
Brown, K. S. & Sethna, J. P. 2003 Statistical mechanical approaches to models with many poorly known parameters Physical review E 68
2003
Del Moral, P., Doucet, A. & Jasra, A. 2006 Sequential Monte Carlo samplers J. Royal Statist. Soc. B
2006
Later among the works it cites.
Golightly, A. & Wilkinson, D. 2006 Bayesian sequential inference for stochastic kinetic biochemical network models J Comput Biol
2006
Later among the works it cites.
Lang, D. T., Swayne, D., Wickham, H. & Lawrence, M. 2006 rggobi: An interface between R and GGobi http://www.R-project.org
2006
Later among the works it cites.
Reinker, S., Altman, R. & Timmer, J. 2006 Parameter estimation in stochastic biochemical reactions IEE Proc.-Syst. Biol
2006
Later among the works it cites.
Stumpf, M. & Thorne, T. 2006 Multi-model inference of network properties from incomplete data Journal of Integrative Bioinformatics
2006
Later among the works it cites.
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Cited alongside, same era.
Galassi, M. 2003 GNU scientific library reference manual Cambridge University Press, 2nd edition
2003
Cited alongside, same era.
Marjoram, P., Molitor, J., Plagnol, V. & Tavare, S. 2003 Markov chain Monte Carlo without likelihoods Proc Natl Acad Sci USA 100
2003
Cited alongside, same era.
Moles, C., Mendes, P. & Banga, J. 2003 Parameter estimation in biochemical pathways: a comparison of global optimization methods Genome Res 13
2003
Cited alongside, same era.
Swayne, D., Lang, D., Buja, A. & Cook, D. 2003 Ggobi: evolving from xgobi into an extensible framework for interactive data visualization Computational Statistics and Data Analysis
2003
Cited alongside, same era.
Muller, T. G., Faller, D., Timmer, J., Swameye, I., Sandra, O. & Klingmüller, U. 2004 Tests for cycling in a signalling pathway Journal of the Royal Statistical Society Series C 53
2004
Cited alongside, same era.
Robert, C. P. & Casella, G. 2004 Monte Carlo Statistical Methods Springer, 2nd edition
2004
Cited alongside, same era.
Zucknick, M. 2004 Approximate Bayesian Computation in population genetics and genomics MSc thesis, Imperial College London
2004
Cited alongside, same era.
Wilkinson, D. J. 2006 Stochastic Modelling for Systems Biology Chapman & Hall/CRC
2006
Later among the works it cites.
Beaumont, M. A. 2008b A note on the ABC-PRC algorithm of Sissons et al. (2007) arXiv stat.CO
2007
Later among the works it cites.
Fagundes, N., Ray, N., Beaumont, M., Neuenschwander, S. et al. 2007 Statistical evaluation of alternative models of human evolution Proc Natl Acad Sci USA doi: 10.1073/pnas.0708280104
2007
Later among the works it cites.
Gutenkunst, R., Waterfall, J., Casey, F., Brown, K., Myers, C. & Sethna, J. 2007 Universally sloppy parameter sensitivities in systems biology models PLoS Comput Biol 3
2007
Later among the works it cites.
van Kampen, N. G. 2007 Stochastic Processes in Physics and Chemistry North-Holland, 3rd edition
2007
Later among the works it cites.
Sisson, S. A., Fan, Y. & Tanaka, M. M. 2007 Sequential Monte Carlo without likelihoods Proc Natl Acad Sci USA 104
2007
Later among the works it cites.
Wilkinson, R. D. 2007 Bayesian inference of primate divergence times PhD thesis, University of Cambridge
2007
Later among the works it cites.
Cook, A. R. 2008 Two novel alternatives to data augmentation in inference for epidemics In preparation
2008
Later among the works it cites.
Del Moral, P., Doucet, A. & Jasra, A. 2008 Sequential Monte Carlo for Bayesian computation in press
2008
Later among the works it cites.
Saltelli, A., Ratto, M., Andres, T., Campolongo, F. et al. 2008 Global sensitivity analysis: The primer John Wiley and Sons
2008
Later among the works it cites.
Vyshemirsky, V. & Girolami, M. A. 2008 Bayesian ranking of biochemical system models Bioinformatics 24
2008
Later among the works it cites.
Beaumont, M. A., Zhang, W. & Balding, D. J. 2002 Approximate bayesian computation in population genetics Genetics 162
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