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The main idea of nested sampling is to substitute the high-dimensional likelihood integral over the parameter space $\Omega$ by an integral over the unit line $[0,1]$ by employing a push-forward with respect to a suitable transformation.
[author] Sripad, AnekalA. and Snyder, DonaldD. (1977). A necessary and sufficient condition for quantization errors to be uniform and white. IEEE Transactions on Acoustics, Speech, and Signal Processing 25 442–448
1977
Earlier work this paper cites.
[author] Burrows, BLB. (1980). A new approach to numerical integration. IMA J. Appl. Math. 26 151–173
1980
Earlier work this paper cites.
[author] MacKay, David JCD. J. and Mac Kay, David JCD. J. (2003). Information theory, inference and learning algorithms. Cambridge university press
2003
Earlier work this paper cites.
2005
Earlier work this paper cites.
[author] Mukherjee, PiaP., Parkinson, DavidD. and Liddle, Andrew R.A. R. (2006). A Nested Sampling Algorithm for Cosmological Model Selection. The Astrophysical Journal 638 L51–L54. 10.1086/501068
2006
Earlier work this paper cites.
Murray, I
2006
Earlier work this paper cites.
[author] Sivia, D. S.D. S. and Skilling, J.J. (2006). Data Analysis: A Bayesian Tutorial, 2nd ed. Oxford University Press
2006
Earlier work this paper cites.
[author] Skilling, JohnJ. et al. (2006). Nested sampling for general Bayesian computation. Bayesian Anal. 1 833–859
2006
Earlier work this paper cites.
[author] Björsell, NiclasN. and Händel, PeterP. (2007). Truncated Gaussian noise in ADC histogram tests. Measurement 40 36–42
2007
Earlier work this paper cites.
[author] Feroz, F.F. and Hobson, M. P.M. P. (2008). Multimodal nested sampling: an efficient and robust alternative to Markov Chain Monte Carlo methods for astronomical data analyses. Mon. Not. R. Astron. Soc. 384 449-463. 10.1111/j.1365-2966.2007.12353.x
2007
Earlier work this paper cites.
[author] Murray, Iain AndrewI. A. (2007). Advances in Markov chain Monte Carlo methods, PhD thesis, University of London
2007
Cited alongside, same era.
[author] Feroz, F.F., Hobson, M. P.M. P. and Bridges, M.M. (2009). MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics. Monthly Notices of the Royal Astronomical Society 398 1601–1614. 10.1111/j.1365-2966.2009.14548.x
2009
Cited alongside, same era.
[author] Vegetti, SimonaS. and Koopmans, Léon VEL. V. (2009). Bayesian strong gravitational-lens modelling on adaptive grids: objective detection of mass substructure in Galaxies. Monthly Notices of the Royal Astronomical Society 392 945–963
2009
Cited alongside, same era.
[author] Chopin, NicolasN. and Robert, Christian PC. P. (2010). Properties of nested sampling. Biometrika 97 741–755
2010
Cited alongside, same era.
[author] Pártay, Lívia BL. B., Bartók, Albert PA. P. and Csányi, GáborG. (2014). Nested sampling for materials: The case of hard spheres. Physical Review E 89 022302
2014
Later among the works it cites.
[author] Pullen, NickN. and Morris, Richard J.R. J. (2014). Bayesian Model Comparison and Parameter Inference in Systems Biology Using Nested Sampling. PLOS ONE 9 1–11. 10.1371/journal.pone.0088419
2014
Later among the works it cites.
[author] de La Fortelle, ArnaudA. (2015). A study on generalized inverses and increasing functions Part I: generalized inverses
2015
Later among the works it cites.
[author] Kämpke, ThomasT. and Radermacher, Franz JosefF. J. (2015). The Generalized Inverse of Distribution Functions. In Income Modeling and Balancing 9–28. Springer
2015
Later among the works it cites.
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[author] Aitken, StuartS. and Akman, Ozgur E.O. E. (2013). Nested sampling for parameter inference in systems biology: application to an exemplar circadian model. BMC Systems Biology 7 72. 10.1186/1752-0509-7-72
2013
Cited alongside, same era.
[author] d’Onofrio, AlbertoA. (2013). Bounded noises in physics, biology, and engineering. Springer
2013
Cited alongside, same era.
[author] Dybowski, RichardR., McKinley, Trevelyan J.T. J., Mastroeni, PietroP. and Restif, OlivierO. (2013). Nested Sampling for Bayesian Model Comparison in the Context of Salmonella Disease Dynamics. PLOS ONE 8 1–17. 10.1371/journal.pone.0082317
2013
Cited alongside, same era.
[author] Embrechts, PaulP. and Hofert, MariusM. (2013). A note on generalized inverses. Math. Methods Oper. Res. 77 423–432
2013
Cited alongside, same era.
2013
Cited alongside, same era.
[author] Parkinson, DavidD. and Liddle, Andrew R.A. R. (2013). Bayesian model averaging in astrophysics: a review. Stat. Anal. Data Min. 6 3-–14. 10.1002/sam.11179
2013
Cited alongside, same era.
[author] Veitch, JohnJ., Raymond, VivienV., Farr, BenjaminB., Farr, WillW., Graff, PhilipP., Vitale, SalvatoreS., Aylott, BenB., Blackburn, KentK., Christensen, NelsonN., Coughlin, MichaelM. et al. (2015). Parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library. Physical Review D 91 042003
2015
Later among the works it cites.
[author] Baldock, Robert JNR. J., Bernstein, NoamN., Salerno, K MichaelK. M., Pártay, Lívia BL. B. and Csányi, GáborG. (2017). Constant-pressure nested sampling with atomistic dynamics. Physical Review E 96 043311
2017
Later among the works it cites.
[author] Higson, EdwardE., Handley, WillW., Hobson, MikeM., Lasenby, AnthonyA. et al. (2018). Sampling errors in nested sampling parameter estimation. Bayesian Anal. 13 873–896
2018
Later among the works it cites.
2018
Later among the works it cites.
[author] Higson, EdwardE., Handley, WillW., Hobson, MichaelM. and Lasenby, AnthonyA. (2019). Dynamic nested sampling: an improved algorithm for parameter estimation and evidence calculation. Stat. Comput. 29 891–913
2019
Later among the works it cites.
[author] Fowlie, AndrewA., Handley, WillW. and Su, LiangliangL. (2020). Nested sampling with plateaus
2020
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