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Optimal Trispectrum Estimators and WMAP Constraints
J. R. Fergusson, D. M. Regan, E. P. S. Shellard
We present an implementation of an optimal CMB trispectrum estimator which accounts for anisotropic noise and incomplete sky coverage. We use a general separable mode expansion whi…
Rapid Separable Analysis of Higher Order Correlators in Large Scale Structure
J. R. Fergusson, D. M. Regan, E. P. S. Shellard
We present an efficient separable approach to the estimation and reconstruction of the bispectrum and the trispectrum from observational (or simulated) large scale structure data.…
General CMB and Primordial Trispectrum Estimation
D. M. Regan, E. P. S. Shellard, J. R. Fergusson
We present trispectrum estimation methods which can be applied to general non-separable primordial and CMB trispectra. We present a general optimal estimator for the connected part…
Primordial non-Gaussianity and Bispectrum Measurements in the Cosmic Microwave Background and Large-Scale Structure
M. Liguori, E. Sefusatti, J. R. Fergusson +1
The most direct probe of non-Gaussian initial conditions has come from bispectrum measurements of temperature fluctuations in the Cosmic Microwave Background and of the matter and…