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2018

A new measure of tension between experiments

Adhikari, Saroj, Huterer, Dragan

Understand

Tensions between cosmological measurements by different surveys or probes have always been important --- and are presently much discussed --- as they may lead to evidence of new physics.

Several tests have been devised to probe the consistency of datasets given a cosmological model, but they often have undesired features such as dependence on the prior volume, or burdensome requirements such as that of near-Gaussian posterior distributions.
We propose a new quantity, defined in a similar way as the Bayesian evidence ratio, in which these undesired properties are absent.
We test the quantity on simple models with Gaussian and non-Gaussian likelihoods.

Built on

S. S. Wilks, The Annals of Mathematical Statistics 9
1938
Earlier work this paper cites.
R. E. Kass and A. E. Raftery, Journal of the American Statistical Association 90
1995
Earlier work this paper cites.
R. Storn and K. Price, Journal of Global Optimization 11
1997
Earlier work this paper cites.
A. Lewis, A. Challinor, and A. Lasenby, Astrophys. J. 538
2000
Earlier work this paper cites.
M. P. Hobson, S. L. Bridle, and O. Lahav, Mon. Not. Roy. Astron. Soc. 335
2002
Earlier work this paper cites.
P. Marshall, N. Rajguru, and A. Slosar, Phys. Rev. D73
2006
Earlier work this paper cites.
R. Trotta, Contemp. Phys. 49
Original
2008
Earlier work this paper cites.
F. Feroz and M. P. Hobson, Mon. Not. Roy. Astron. Soc. 384
Original
2008
Earlier work this paper cites.
F. Feroz, M. P. Hobson, and M. Bridges, Mon. Not. Roy. Astron. Soc. 398
Original
2009
Earlier work this paper cites.
M. C. March, R. Trotta, L. Amendola, and D. Huterer, Mon. Not. Roy. Astron. Soc. 415
Original
2011
Earlier work this paper cites.
K. B. Petersen and M. S. Pedersen, “The matrix cookbook,” (2012), version 20121115
2012
Earlier work this paper cites.
C. Howlett, A. Lewis, A. Hall, and A. Challinor, JCAP 1204
Original
2012
Earlier work this paper cites.
L. Amendola, V. Marra, and M. Quartin, Mon. Not. Roy. Astron. Soc. 430
Original
2013
Earlier work this paper cites.