Fetching the paper…

Reading the bibliography…

2011

Optimal Polyspectra Estimation

Fergusson, J. R., Shellard, E. P. S.

Original
PDF
Post on X

Understand

We show that full inverse covariance weighting can be naturally incorporated into modal estimation methods making them optimal for the CMB power spectrum, bispectrum and trispectrum, as well as in other 3D applications.

Modal estimation methods are highly efficient requiring inversion of only an nmax x nmax covariance matrix, where nmax is the limited number of modes needed to describe both the theoretical model and the noise which affects it (in contrast to the full lmax^2 x lmax^2 inverse covariance weighting).
A WMAP resolution implementation for modal bispectrum estimation is discussed and shown to yield optimal constraints for local and other models at lmax =500 and nmax <= 50.
We also discuss further improvements by characterising and preconditioning the covariance matrix using a single bispectrum variance shape induced by the noise and mask.

Optimal Polyspectra Estimation · Around

Built on

K. M. Gorski, Astrophys.J. 430
1994
Earlier work this paper cites.
J. Bond, Phys.Rev.Lett. 74
1995
Earlier work this paper cites.
A. F. Heavens, MNRAS 299
1998
Earlier work this paper cites.
S. P. Oh, D. N. Spergel, and G. Hinshaw, Astrophys.J. 510
1999
Earlier work this paper cites.
D. Babich, Phys. Rev. D72
2005
Earlier work this paper cites.
E. Komatsu, D. N. Spergel, and B. D. Wandelt, Astrophys. J. 634
2005
Earlier work this paper cites.
P. Creminelli, A. Nicolis, L. Senatore, M. Tegmark, and M. Zaldarriaga, JCAP 0605
2006
Earlier work this paper cites.

Similar

J. R. Fergusson and E. P. S. Shellard, Phys. Rev. D76
2007
Cited alongside, same era.
K. M. Smith, O. Zahn, and O. Dore, Phys.Rev. D76
2007
Cited alongside, same era.
E. Komatsu et al. (WMAP) (2008), eprint 0803.0547
2008
Cited alongside, same era.
J. R. Fergusson, M. Liguori, and E. P. S. Shellard (2009), eprint 0912.5516
2009
Cited alongside, same era.
K. M. Smith, L. Senatore, and M. Zaldarriaga, JCAP 0909
2009
Cited alongside, same era.
J. R. Fergusson and E. P. S. Shellard, Phys. Rev. D80
2009
Cited alongside, same era.
M. Bucher, B. Van Tent, and C. S. Carvalho (2009), eprint 0911.1642

Then

O. Rudjord, F. K. Hansen, X. Lan, M. Liguori, D. Marinucci, et al., Astrophys.J. 701
2009
Later among the works it cites.
A. Curto, E. Martinez-Gonzalez, and R. Barreiro (2010), * Temporary entry *, eprint 1007.2181
2010
Later among the works it cites.
D. M. Regan, E. P. S. Shellard, and J. R. Fergusson (2010), eprint 1004.2915
2010
Later among the works it cites.
D. Hanson, A. Lewis, and A. Challinor, Phys. Rev. D81
2010
Later among the works it cites.
A. Curto, E. Martinez-Gonzalez, and R. B. Barreiro, ArXiv e-prints (2011), eprint 1111.3390
2011
Closest in time.
F. Elsner and B. D. Wandelt, Astron.Astrophys. 540
2012
Closest in time.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

2009

Cited alongside, same era.

J. R. Fergusson, M. Liguori, and E. P. S. Shellard (2010a), eprint 1006.1642

Cited in the paper.

J. R. Fergusson, D. M. Regan, and E. P. S. Shellard (2010b), eprint 1012.6039

Cited in the paper.

J. R. Fergusson, D. M. Regan, and E. P. S. Shellard (2010c), eprint 1008.1730

Cited in the paper.

S. Donzelli, F. K. Hansen, M. Liguori, D. Marinucci, and S. Matarrese, ArXiv e-prints (2012), eprint 1202.1478

2012

Closest in time.