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1948
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Springer Netherlands, Dordrecht, 1988
E. T. Jaynes, The Relation of Bayesian and Maximum Entropy Methods · 1988
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Springer Netherlands, Dordrecht, 1988
J. Skilling, The Axioms of Maximum Entropy · 1988
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S. Ciulli, M. Mounsif, N. Gorman, and T. D. Spearman, “On the application of maximum entropy to the moments problem,” Journal of Mathematical Physics
1991
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Maximum Entropy Data Consultants Ltd., 1991
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Then

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2013
Later among the works it cites.
E. Del Nobile, G. B. Gelmini, P. Gondolo, and J.-H. Huh, “Halo-independent analysis of direct detection data for light WIMPs,” JCAP
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2013
Later among the works it cites.
E. Del Nobile, G. Gelmini, P. Gondolo, and J.-H. Huh, “Generalized Halo Independent Comparison of Direct Dark Matter Detection Data,” JCAP
Original
2013
Later among the works it cites.
G. L. Bretthorst, “The maximum entropy method of moments and Bayesian probability theory,” AIP Conference Proceedings
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Later among the works it cites.
B. J. Kavanagh and A. M. Green, “Model independent determination of the dark matter mass from direct detection experiments,” Phys. Rev. Lett
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2017

Halo-independence with quantified maximum entropy at DAMA/LIBRA

Fowlie, Andrew

Understand

Using the DAMA/LIBRA anomaly as an example, we formalise the notion of halo-independence in the context of Bayesian statistics and quantified maximum entropy.

We consider an infinite set of possible profiles, weighted by an entropic prior and constrained by a likelihood describing noisy measurements of modulated moments by DAMA/LIBRA.
Assuming an isotropic dark matter (DM) profile in the galactic rest frame, we find the most plausible DM profiles and predictions for unmodulated signal rates at DAMA/LIBRA.
The entropic prior contains an a priori unknown regularisation factor, $\beta$, that describes the strength of our conviction that the profile is approximately Maxwellian.

Built on

Oxford University Press, 1939
H. Jeffreys, The Theory of Probability · 1939
Earlier work this paper cites.
C. E. Shannon, “A Mathematical Theory of Communication,” Bell System Technical Journal
1948
Earlier work this paper cites.
E. T. Jaynes, “Information Theory and Statistical Mechanics,” Phys. Rev
1957
Earlier work this paper cites.
M. J. D. Powell, “An efficient method for finding the minimum of a function of several variables without calculating derivatives,” The Computer Journal
1964
Earlier work this paper cites.
L. R. Mead and N. Papanicolaou, “Maximum entropy in the problem of moments,” Journal of Mathematical Physics
1984
Earlier work this paper cites.
Springer Netherlands, Dordrecht, 1988
E. T. Jaynes, The Relation of Bayesian and Maximum Entropy Methods · 1988
Earlier work this paper cites.
Springer Netherlands, Dordrecht, 1988
J. Skilling, The Axioms of Maximum Entropy · 1988
Earlier work this paper cites.
S. Ciulli, M. Mounsif, N. Gorman, and T. D. Spearman, “On the application of maximum entropy to the moments problem,” Journal of Mathematical Physics
1991
Earlier work this paper cites.

Similar

Maximum Entropy Data Consultants Ltd., 1991
S. F. Gull and J. Skilling, Quantified Maximum Entropy MemSys5 Users’ Manual · 1991
Cited alongside, same era.
Springer Netherlands, Dordrecht, 1993
S. Kopeć and G. L. Bretthorst, Entropy, Moments and Probability Theory · 1993
Cited alongside, same era.
DAMA/LIBRA
Original
2008
Cited alongside, same era.
F. Feroz, M. P. Hobson, and M. Bridges, “MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics,” Mon. Not. Roy. Astron. Soc
Original
2009
Cited alongside, same era.
DAMA/LIBRA
Original
2010
Cited alongside, same era.

Then

DAMA/LIBRA
Original
2013
Later among the works it cites.
E. Del Nobile, G. B. Gelmini, P. Gondolo, and J.-H. Huh, “Halo-independent analysis of direct detection data for light WIMPs,” JCAP
Original
2013
Later among the works it cites.
E. Del Nobile, G. Gelmini, P. Gondolo, and J.-H. Huh, “Generalized Halo Independent Comparison of Direct Dark Matter Detection Data,” JCAP
Original
2013
Later among the works it cites.
G. L. Bretthorst, “The maximum entropy method of moments and Bayesian probability theory,” AIP Conference Proceedings
2013
Later among the works it cites.
B. J. Kavanagh and A. M. Green, “Model independent determination of the dark matter mass from direct detection experiments,” Phys. Rev. Lett
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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M. Kuhlen, N. Weiner, J. Diemand, P. Madau, B. Moore, D. Potter, J. Stadel, and M. Zemp, “Dark Matter Direct Detection with Non-Maxwellian Velocity Structure,” JCAP

Original

2010

Cited alongside, same era.

J. Herrero-Garcia, T. Schwetz, and J. Zupan, “Astrophysics independent bounds on the annual modulation of dark matter signals,” Phys. Rev. Lett

Original

2012

Cited alongside, same era.

P. Gondolo and G. B. Gelmini, “Halo independent comparison of direct dark matter detection data,” JCAP

Original

2012

Cited alongside, same era.

P. Gondolo and S. Scopel, “Halo-independent determination of the unmodulated WIMP signal in DAMA: the isotropic case,” arXiv:1703.08942 [hep-ph]