Bayesian model comparison in cosmology with Population Monte Carlo

Monthly Notices of the Royal Astronomical Society

Volumn 405, Issue 4, 2010, Pages 2381-2390

  Kilbinger, Martin ^a,b   Wraith, Darren ^a,c   Robert, Christian P ^c   Benabed, Karim ^a   Cappé, Olivier ^d   Cardoso, Jean François ^a,d   Fort, Gersende ^d   Prunet, Simon ^a   Bouchet, François R ^a  

^a INSTITUT D'ASTROPHYSIQUE DE PARIS   (France)

^b SHANGHAI NORMAL UNIVERSITY   (China)

^c UNIVERSITÉ PARIS DAUPHINE   (France)

^d TELECOM PARISTECH   (France)

Author keywords

Cosmological parameters; Methods: statistical

Indexed keywords

BAYESIAN NETWORKS; MARKOV PROCESSES; MICROWAVE OSCILLATORS; MONTE CARLO METHODS; POPULATION STATISTICS; STATISTICAL TESTS; STOCHASTIC MODELS; TENSORS;

BAYESIAN EVIDENCE; BAYESIAN MODEL SELECTION; BAYESIAN MODELLING; COLD DARK MATTERS; COSMOLOGICAL PARAMETERS; MARKOV CHAIN MONTE CARLO; MARKOV CHAIN MONTE-CARLO; METHODS:STATISTICAL; MODELS COMPARISONS; POPULATION MONTE CARLO;

COSMOLOGY;

EID: 77955017679     PISSN: 00358711     EISSN: 13652966     Source Type: Journal    
DOI: 10.1111/j.1365-2966.2010.16605.x     Document Type: Article

References (44)

1. Akaike H. IEEE Trans. Autom. Control, AC-19 1974, 716.
2. Benabed K, Cardoso J, Prunet S, Hivon E. MNRAS 2009, 400:219.
3. Berger J, Jeffreys W. Am. Stat. 1992, 80:64.
4. Bridges M, Lasenby A N, Hobson M P. MNRAS 2006, 369:1123.
5. Bridges M, Lasenby A N, Hobson M P. MNRAS 2007, 381:68.
6. Cappé O, Guillin A, Marin J-M, Robert C. J. Comput. Graph. Stat. 2004, 13:907.
7. Cappé O, Douc R, Guillin A, Marin J-M, Robert C. Stat. Comput. 2008, 18:447.
8. Chen M, Shao Q, Ibrahim J. Monte Carlo Methods in Bayesian Computation 2000, Springer, New York
9. Clyde M A, Berger J O, Bullard F, Ford E B, Jefferys W H, Luo R, Paulo R, Loredo T. Statistical Challenges in Modern Astronomy IV 2007, 224. Babu G J, Feigelson E D, Astron. Soc. Pac., San Francisco, p
10. Cover T M, Thomas J A. Elements of Information Theory 1991, John Wiley and Sons, Inc., New York
11. Dempster A, Laird N, Rubin D. J. R. Stat. Soc. Ser. B 1977, 39:1.
12. Dunkley J. ApJS 2009, 180:306.
13. Efstathiou G. MNRAS 2008, 388:1314.
14. Eisenstein D J. ApJ 2005, 633:560.
15. Feroz F, Hobson M P. MNRAS 2008, 384:449.
16. Feroz F, Hobson M P, Bridges M. MNRAS 2009, 398:1601.
17. Heavens A F, Kitching T D, Verde L. MNRAS 2007, 380:1029.
18. Hinshaw G. ApJS 2009, 180:225.
19. Jeffreys H. Theory of Probability 1939, 1st edn, The Clarendon Press, Oxford
20. Jeffreys H. Oxford Classic Texts in the Physical Sciences 1961, Theory of Probability, 3rd edn, Oxford University Press, Oxford
21. Komatsu E. ApJS 2009, 180:330.
22. Kowalski M. ApJ 2008, 686:749.
23. Kullback S, Leibler R A. Ann. Math. Stat. 1951, 22:79.
24. Lepage G P. J. Comput. Phys. 1978, 27:192.
25. Lindley D. Biometrika 1957, 44:187.
26. Liu J, Chen R. J. Am. Stat. Assoc. 1995, 90:567.
27. MacKay D J C. Information Theory, Inference and Learning Algorithms 2002, Cambridge Univ. Press, Cambridge
28. Martin J, Ringeval C. J. Cosmol. Astropart. Phys. 2006, 8:9.
29. Marin J-M, Robert C P. 2010, preprint, arXiv:0910.2325
30. Ménard B, Kilbinger M, Scranton R. MNRAS 2009, arXiv:0903.4199
31. Mukherjee P, Parkinson D, Liddle A R. ApJ 2006, 638:L51.
32. Parkinson D, Mukherjee P, Liddle A R. Phys. Rev. D 2006, 73:123523.
33. Peebles P J E. 2002, preprint, arXiv:astro-ph/0208037
34. Peiris H V, Easther R. J. Cosmol. Astropart. Phys. 2006, 7:2.
35. Robert C P, Wraith D. Proc. MaxEnt 2009. Computational Methods for Bayesian Model Choice 2009, in, Am. Inst. Phys., preprint, arXiv:0907.5123
36. Schrabback T. AandA 2010, in press (arXiv:0911.0053)
37. Schwarz G. Ann. Stat. 1978, 6:461.
38. Serra P, Heavens A, Melchiorri A. MNRAS 2007, 379:169.
39. Skilling J. Bayesian Anal. 2006, 1:833.
40. Trotta R. MNRAS 2007, 378:72.
41. Trotta R. Contemp. Phys. 2008, 49:71.
42. Vardanyan M, Trotta R, Silk J. MNRAS 2009, 397:431.
43. Waterhouse T P, Zibin J P. 2008, preprint, arXiv:0804.1771
44. Wraith D, Kilbinger M, Benabed K, Cappé O, Cardoso J-F, Fort G, Prunet S, Robert C P. Phys. Rev. D 2009, 80:023507. WKB09