Likelihood Simulation for Bounding Non-Gaussianity in the CMB

Details Likelihood Simulation for Bounding Non-Gaussianity in the CMB Likelihood Simulation for Bounding Non-Gaussianity in the CMB

Nov 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aspc..371..421j&link_type=abstract

Statistical Challenges in Modern Astronomy IV ASP Conference Series, Vol. 371, proceedings of the conference held 12-15 June 200

Astronomy and Astrophysics

Astronomy

Scientific paper

The distribution of the CMB temperature fluctuations predicted by several alternative models to the Standard Inflationary can be parametrized by the so-called f_{NL} parameter.
We present a simulation-based scheme which uses a classification algorithm to designate the most likely parameter value.
Methods for parameter space search, calibration, and importance sampling can dramatically increase accuracy and efficiency.
Confidence intervals are constructed using a version of simulation hypothesis testing. Output of the search algorithm can be interpolated to provide reasonably accurate estimates of bounds; a further search can be used to provide more accurate placement.

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