REFERENCES
- Dunkley J et al. 2008. Five-year Wilkinson
Microwave Anisotropy Probe (WMAP) observations: likelihoods and
parameters from the WMAP data.
arXiv:0803.0586;
Komatsu E et al. 2008. Five-year Wilkinson Microwave Anisotropy Probe
(WMAP) observations: cosmological interpretation.
arXiv:0803.0547
- Liddle AR, Lyth DH.
2000. Cosmological inflation and large-scale
structure. Cambridge University Press
- Liddle AR. 2004. How many cosmological
parameters?
Mon. Not. Roy. Astr. Soc. 351:
L49–L53
- Lahav O, Liddle AR.
2008. The Cosmological Parameters. In Amsler C et al. 2008. Reviews of
Particle Physics,
http://pdg.lbl.gov/
- See e.g. the Mathematical Methods articles by
Cowan G in Amsler C et al.
2008. Reviews of Particle Physics,
http://pdg.lbl.gov/
-
Bayes T. 1763. An essay towards solving a problem in the doctrine of
chances. Phil. Trans. 53:370–418 (translated to modern
notation in
Biometrika 45: 296–315)
- Jeffreys H.
1961. Theory of probability, 3rd ed. Oxford University Press
- Gilks WR, Richardson S, Spiegelhalter DJ (eds).
1996. Markov Chain Monte Carlo in practice. Chapman and Hall/CRC
(London)
- Jaynes ET.
2003. Probability theory: the logic of
science. Cambridge University Press
- MacKay DJC.
2003. Information theory, inference, and learning
algorithms. Cambridge University Press
- Gregory P.
2005. Bayesian logical data analysis for the physical
sciences. Cambridge University Press
- Feinberg SE. 1996. When did Bayesian
inference become “Bayesian”?
Bayesian Analysis 1:1–40
- Cox RT. 1946. Probability, frequency, and
reasonable expectation.
Am. Jour. Phys. 14:1–13
- Christensen N, Meyer R. 2000. Bayesian
methods for cosmological parameter estimation from cosmic microwave
measurements. arXiv:astro-ph/0006401.
Extended and published under the
same title, with additional authors Knox L and Luey B,
2001. Class. Quant. Grav.
18:2677–2688
- Lewis A, Bridle S. 2002. Cosmological
parameters from CMB and other data: a Monte Carlo approach.
Phys. Rev. D 66:103511, code at
http://cosmologist.info
- Gelman A, Rubin D. 1992. Inference from
iterative simulation using multiple sequences.
Statistical Science 7:457–511
- Sahlén M, Liddle AR, Parkinson
D. 2007. Quintessence reconstructed: new constraints and tracker
viability.
Phys. Rev. D 75:023502
- Spiegelhalter DJ, Best NG, Carlin BP, van der
Linde A. 2002. Bayesian measures of model complexity and fit.
J. Roy. Statist. Soc. B 64:583–640
- Kunz M, Trotta R, Parkinson D. 2006. Measuring
the effective complexity of cosmological models.
2006. Phys. Rev. D 74:023503
- Haijin A. 2007. Efficient cosmological
parameter estimation with Hamiltonian Monte Carlo.
Phys. Rev. D 75:083525
- Taylor JF, Ashdown MAJ, Hobson
MP. 2007. Fast optimal CMB power spectrum estimation with Hamiltonian
sampling.
arXiv:0708.2989
- Fendt WA, Wandelt BD. 2007. Computing high
accuracy power spectra with Pico.
arXiv:0712.0194,
code at http://cosmos.astro.uiuc.edu/pico
- Auld T, Bridges M, Hobson
MP. 2007. CosmoNet: fast cosmological parameter estimation in non-flat
models using neural nets.
arXiv:astro-ph/0703445,
code at http://www.mrao.cam.ac.uk/software/cosmonet
- Vul E, Harris C, Winkielman P, Pashler
H. 2009. Voodoo correlations in social neuroscience. In press,
Perspectives in psychological science
- Ioannidis JPD. 2005. Why most published
research fundings are false.
PLoS Medicine 2(8):e124
- Trotta R. 2008. Bayes in the sky: Bayesian
inference and model selection in cosmology.
Contemp. Phys. 49(2): 71–104
- Kass RE, Raftery AE. 1995. Bayes factors.
J. Am. Stat. Assoc. 90:773–795
- Beltran M, Garcia-Bellido J, Lesgourgues J,
Liddle AR, Slosar A. 2005. Bayesian model selection and isocurvature
perturbations.
Phys. Rev. D 71:063532
- Skilling J. 2006. Nested sampling for
general Bayesian computation.
Bayesian Anal. 1:833–860
- Mukherjee P, Parkinson D, Liddle AR. 2006. A
nested sampling algorithm for cosmological model selection.
Astrophys. J. Lett. 638:L51–L55
- Parkinson D, Mukherjee P, Liddle AR. 2006. A
Bayesian model selection analysis of WMAP3.
Phys. Rev. D 73: 123523,
code at http://dparkins.github.io/CosmoNest/
- Feroz F, Hobson MP, Bridges M. 2008. MultiNest:
an efficient and robust Bayesian inference tool for cosmology and
particle physics.
arXiv:0809.3437,
code at http://www.mrao.cam.ac.uk/software/multinest
- Trotta R, Feroz F, Hobson MP, Roszkowski L, de
Austri RR. 2008. The impact of priors and observables on parameter
inferences in the constrained MSSM.
JHEP 0812:024
- Lepage GP. 1978. A new algorithm for adaptive
multidimensional integration.
J. Comput. Phys. 27:192–203
- Serra P, Heavens A, Melchiorri
A. 2007. Bayesian evidence for a cosmological constant using new
high-redshift supernovae data.
Mon. Not. Roy. Astr. Soc. 379:169–175
- Trotta R. 2007. Applications of Bayesian
model selection to cosmological parameters.
Mon. Not. Roy. Astr. Soc. 378:72–82
- Schwarz G. 1978. Estimating the dimension of
a model.
Ann. Statist. 5:461–464
- Liddle AR, Mukherjee P, Parkinson D, Wang
Y. 2006. Present and future evidence for evolving dark energy.
Phys. Rev. D 74:123506
- Akaike H. 1974. A new look at the statistical
model identification.
IEEE T. Automat. Contr. 19, 716–723
- Burnham KP, Anderson DR.
2002. Model selection and multimodel inference, 2nd ed.,
Springer–Verlag (New York)
- Liddle AR. 2007. Information criteria for
astrophysical model selection.
Mon. Not. Roy. Astr. Soc. 377:
L74–L78
- Wallace CS.
2005. Statistical and inductive inference by minimum message
length, Springer
- Bassett BA. 2005. Eyes wide open —
optimizing cosmological surveys in a crowded market.
Phys. Rev. D 71:083517
Parkinson D, Blake C, Kunz M, Bassett BA, Nichol RC, Glazebrook
K. 2007. Optimizing baryon acoustic oscillation surveys I: testing the
concordance LCDM cosmology.
Mon. Not. Roy. Astr. Soc. 377:185–197
- Knox L. 1995. Determination of inflationary
observables by cosmic microwave background anisotropy experiments.
Phys. Rev. D 52:4307–4318
Jungman G, Kamionkowski M, Kosowsky A, Spergel DN. 1996. Cosmological
parameter determination with microwave background maps.
Phys. Rev. D 54: 1332–1344
Zaldarriaga M, Spergel D, Seljak U. 1997. Microwave background
constraints on cosmological parameters.
Astrophys. J. 488:1–13
- Albrecht A et al. 2006. Report of the dark
energy task force.
arXiv:astro-ph/0609591
- Mukherjee P, Parkinson D, Corasaniti PS,
Liddle AR, Kunz M. 2006. Model selection as a science driver for dark
energy surveys.
Mon. Not. Roy. Astr. Soc.
369:1725–1734